A prefixal form of preposition an(a) from The Etymologies of the 1930s (Ety/N¹). It was mentioned as a verbal prefix {na- >>} ana- in Quenya Notes (QN) from 1957 (PE17/147), and while the paragraph where it appeared was rejected I think it likely the prefix itself was retained.
Quenya
an(a)
preposition. to, towards, to a point near, alongside, to, towards, to a point near, alongside; [ᴱQ.] until
ana-
prefix. to, towards
ana-
prefix. to, towards
melda
adjective. dear, beloved, beloved, dear, [ᴹQ.] sweet
na
preposition. to, towards
@@@ fix weird cognate bug
A word meaning “to” or “towards”, the prepositional equivalent of allative suffix -nna. It dates back to the Qenya Lexicon of the 1910s where ᴱQ. ana “to(wards)” appeared under the early root ᴱ√ANA (QL/31). In later writings it usually appeared as an or ana and had a similar derivation from √ANA (PE17/127; VT49/35; Ety/N¹), but it also appeared as na (PE21/79; PE23/92; VT27/10). It is similar to but distinct from the conjunction/adverb an “for; furthermore”, because ana can serve a dative or allative function (PE17/147). For example: an i falmalī “upon the many waves” vs. more usual allative i falmalinna (PE17/127). In one place Tolkien said the inverted form na had the more precise meaning “towards, to a position near, alongside”, implying not only approach but arrival alongside (PE21/79).