Mairen fem. name(UT:210), initial element perhaps related or identical to mai "well". The second element is obscure; the root REN "recall, have in mind" (PM:372) could be related; if so the name may imply "well remembered", "(of) good memory" or something similar. It may also connect with the adj. maira, q.v. and compare the masc. name Mairon (PE18:163).
Quenya
máriën
noun. goodness
márië
goodness
márië
noun/adverb. well, happily; goodness, good estate, being well, happiness
Mairen
well
mai
well
mai (1) adv. "well" (VT47:6), apparently also used as prefix (PE17:17:162, 163, 172)
mandë
well
mandë (2) adv. "well" (VT49:26; this is "Qenya"). Rather mai in Tolkiens later Quenya.
tampo
well
tampo noun "well" (QL:93)
ehtelu-
verb. well, bubble out
mai
adverb. well, well; [ᴱQ.] too much
máralë
noun. goodness
tampo
noun. well
márië (1) "goodness", "good" as noun (abstract formation from the adj. mára). (PE17:58, 89). Genitive máriéno, dative máriena, locative máriessë (PE17:59, occurring in the greeting (hara) máriessë "(stay) in happiness", PE17:162) Allative márienna *"to goodness", used as an interjection "farewell" (archaic namárië, q.v.),