An unglossed root in the Qenya Lexicon of the 1910s with derivatives ᴱQ. ohte “egg” and ᴱQ. oi “bird, hen”; Tolkien speculated it was in fact the same root as ᴱ√OHO² “cry” (QL/69). G. och “egg” from the contemporaneous Gnomish Lexicon is clearly related (GL/62), and probably also G. uil “hen” and G. uitha- “lay eggs, nest” given than they appear adjacent to uith “eggs”, the plural of och (GL/74). There are no signs of this root in Tolkien’s later writing, but I think it is worth retaining in Neo-Eldarin as ᴺ√OKH.
√OL “*become, [ᴹ√] grow”
This root seems to have served various purposes throughout Tolkien’s life. It first appeared as ᴱ√OLO¹ “tip”, unglossed ᴱ√OLO² with derivatives like ᴱQ. olde “very, much” and ᴱQ. olto- “increase, multiply”, as well as ᴱ√OLO³ whose derivatives had to do with dreams (QL/69). The second root ᴱ√OLO² may have had the sense “*increase, more”, which may have reemerged in the verb or primitive form ol- “grow” in a deleted entry from The Etymologies of the 1930s (EtyAC/GAL(AS)). The root ᴹ√OL “grow” was mentioned again in the Quenya Verbal System of the 1940s (PE22/103). In this document the Quenya verb Q. ol- generally had the gloss “become” (PE22/99-100, 113), including as a derivative of ᴹ√OL “grow” (PE22/103). This sense for the verb was mentioned again in Common Eldarin: Verb Structure from the early 1950s (PE22/133-134).
In The Shibboleth of Fëanor from the late 1960s Tolkien said: “OL as a simple stem seems not to have occurred in Eldarin, though it appears in certain ‘extended’ stems, such as olos/r ‘dream’, olob ‘branch’ (PM/341)”. This lack of ancient meaning was despite the fact that OL was an element in the ancient name Q. Olwë.
A root in the Qenya Lexicon of the 1910s glossed “tip”, with derivatives like ᴱQ. óleme “elbow” and ᴱQ. ole “three” (QL/69). It seems to have served as the basis for ᴱ√LOHO, an early root for various flower words (QL/55). There are no signs that ᴱ√OLO was used for “tip” in Tolkien’s later writings (except perhaps in √OLOB “branch”), and ᴱ√LOHO evolved into √LOT(H) “flower”.
A root mentioned in The Shibboleth of Fëanor from the late 1960s serving as the basis for Q. olba of the same meaning (PM/341). Q. olvar “growing things with roots in the earth” from The Silmarillion was probably related (S/45, 345). In The Etymologies of the 1930s, “branch” words were derived from unglossed ᴹ√GOLOB: ᴹQ. olwa and N. golf “branch” (Ety/GÓLOB).
Neo-Eldarin: For purposes of Neo-Eldarin, I would assume √GOLOB is a Sindarin-only variant of √OLOB, perhaps influenced by √GAL “grow”. This would allow us to retain golf = “branch”, though the one name where it appeared, N. Gurtholf “Wand of Death” (Ety/ÑGUR; LR/147), became S. Gurthang “Iron of Death” in later versions of The Silmarillion (S/210).
√(O)LOR “dream, vision; [ᴹ√] sleep, [ᴱ√] doze, slumber” and √OLOS “dream, vision, fantasy
Tolkien used similar roots for “dream” and “sleep” throughout his life, but the exact details varied. In the Qenya Lexicon of the 1910s he gave the root ᴱ√OLO³ as the basis for the names ᴱQ. Eriol “a dreamer” and ᴱQ. Olofantor who had to do with sleep (QL/69). It had an extended form ᴱ√OLOR with derivatives like ᴱQ. olóre, but Tolkien indicated these form more properly belonged to the root ᴱ√LORO (QL/69). The entry for ᴱ√LORO had glosses “doze, slumber”, along with derivatives like ᴱQ. lor- “slumber”, ᴱQ. lorda “slumbrous, drowsy”, and ᴱQ. Lôrien “King of Dreams” (QL/56). Various derivatives also appeared in the contemporaneous Gnomish Lexicon such as G. lor- “sleep deep, dream (tr.)”, G. lorc “drowsy, dreamy, lazy”, and G. lûr “slumber” (GL/54, 55), along with G. olma- “dream” and G. oloth “dream, apparition, vision”, probably from ᴱ√OLO³ (GL/62).
In The Etymologies of the 1930s Tolkien first gave the root ᴹ√LOS, revised it to ᴹ√LOR, and then back to ᴹ√LOS (EtyAC/LOS). Tolkien also gave an augmented variant ᴹ√OLOR, which was likewise altered to ᴹ√OLOS (EtyAC/ÓLOS). The unaugmented root was glossed “sleep”, and the augmented root “dream”. The unaugmented root had derivatives like ᴹQ. lóre “slumber” and ᴹQ. lorna “sleep” (Ety/LOS), with Noldorin cognates N. lhûr “slumber” and N. lhorn “asleep” rejected after ᴹ√LOR >> ᴹ√LOS (EtyAC/LOS). The augmented root had derivatives ᴹQ. olor “dream”, N. ôl “dream”, and N. oltha- “to dream” (Ety/ÓLOS). The Quenya form ᴹQ. olor may reflect Tolkien indecision in this period on the development of final -s: compare ᴹQ. kár (kas-) “head” (Ety/KAS). Ultimately he would decide that final -s survived, and intervocalic -s- > -r-, making the derivation of ᴹQ. olor from ᴹ√OLOS somewhat dubious.
In both the 1910s and 1930s, lor- forms were more closely associated with “sleep” and ol- forms with “dreams”. In writings from the 1950s and 60s, the only attested associations for these roots were with “dreams” and “visions”. Tolkien gave √OLOR “vision (of mind)” (PE17/88), olo-s “vision, fantasy” (UT/396) and √OLOS/R “dream” (PM/341). This last mention of the root was from the Shibboleth of Fëanor from the late 1960s, which indicated the root was an extension √OL, but Tolkien continued to use Q. lórë for “dream” in this period (PE17/80; Let/308), and the unaugmented root √LOR was mentioned in passing (without gloss) in a discussion of the root √DOR (PE17/181).
In later writings, Tolkien also used √OLOR or √OLOS as the basis for the true name of Gandalf: Q. Olórin (PE17/88; UT/396). In connection to that name Tolkien wrote:
olo-s: vision, “phantasy”: Common Elvish name for “construction of the mind” not actually (pre)existing in Eä apart from the construction, but by the Eldar capable of being by Art (Karmë) made visible and sensible. Olos is usually applied to fair constructions having solely an artistic object, i.e. not having the object of deception, or of acquiring power (UT/396).
Olor is a word often translated “dream”, but that does not refer to (most) human “dreams”, certainly not the dreams of sleep. To the Eldar it included the vivid contents of their memory, as of their imagination: it referred in fact to clear vision, in the mind, of things not physically present at the body’s situation. But not only to an idea, but to a full clothing of this in particular form and detail (UT/396).
Thus in Tolkien’s later conception, perhaps the most accurate translation of the root would be “(mental) vision”, not properly connected to “sleep” or “(sleeping) dreams” at all. However, the translation of the root as “vision of the mind” seems to have been intertwined with Galdalf’s Quenya name, and remnants of early ideas continued to appear, most especially the long-lived name Q. Lórien “*Dream Lands” (S/28) as well as S. Lothlórien “Dream Flower” (LotR/467).
Neo-Eldarin: For purposes of Neo-Eldarin, using this root only for “vision of the mind” is problematic, in that it leaves us no good words for “sleep” or “(ordinary) dream”, nor any good explanation for the name (Loth)lórien. I think it is better to hearken back to earlier notions, and assume two distinct roots that influenced each other: √LOR “sleep” and √OLOS “dream, vision”. In Sindarin their derivatives would remain distinct, but in Quenya the two produce similar results, so that Q. lórë came to meaning “dreaming sleep”, usable for either dreams or sleep or both, where Q. olos properly meant “vision of the mind”, but sometimes took the form olor under the influence of √LOR.