The Quenya verb for “to come”, which is very well-attested. It is derived from the root √TUL whose basic sense is “move towards the speaker” (PE17/188), as in “come here”: á tule sís. English may also use “come with” in the sense “accompany” such as “I will come with you”, but Quenya uses men- (“go”) for this purpose (PE22/162), such as menuvan ó le = “I will go with you”.
Conceptual Development: ᴱQ. tulu- dates all the way back to the Qenya Lexicon of the 1910s, where it appeared under the early root ᴱ√TULU, but in that early document it has a much broader set of glosses: “(1) bring, carry, fetch; (2) intr. move, come; (3) produce, bear fruit” (QL/95). By the Early Qenya Grammar of the 1920s its list of glosses was reduced to “come” (PE14/57), and Tolkien used the verb only to mean “come” thereafter. Tolkien often used this verb in grammatical examples, which is part of the reason it is so well-attested.
A verb in The Etymologies of the 1930s appearing in its (Noldorin-style) infinitive form toltho “fetch” under the root ᴹ√TUL “come, approach, move towards”, cognate to ᴹQ. tulta- “send for, fetch, summon” (Ety/TUL). Both N. toltha- and ᴹQ. tulta- appear to be a causative verbs, whose original meaning was “✱to make come”.
Conceptual Development: The Gnomish Lexicon of the 1910s had G. tultha- “lift, carry” (GL/71), clearly based on the early root ᴱ√TULU whose original meaning was “uphold, support, bear, carry”, and only by extension “fetch, bring; move, come” (QL/95). Gnomish of the 1910s did not have the Noldorin/Sindarin sound change whereby short *u* usually became *o*, which is why Tolkien had G. tultha- rather than N. toltha-.
Neo-Sindarin: The base meaning of the root √TUL changed from 1910s “support, carry” to 1930s “come”. Despite this, I think toltha- might still be used in the sense “carry” for purposes of Neo-Sindarin, since “fetch” and “carry” are not that different in meaning. I would propose a scenario in which ancient ✱tultā- meant “✱to make come = summon”, evolving into “✱to make bring = fetch” (that is, bring someone or something to someplace or someone), and from there broadening to “carry” in other cases, but with the specific connotation of “fetch = carry towards someone or someplace” = “✱bring”. I envision a similar semantic development for Q. tulya-.
I would therefore assume toltha- lost its original sense “summon” (also absent in The Etymologies) in the Sindarin language branch; for this I would use [ᴺS.] nachav-.