Patrick H. Wynne has suggested that Emeldir possibly consists of Sindarin emel ("mother") + dir ("man"), yielding a hypothetical translation "manly-mother" or "mother with manly courage" (close in meaning to her epithet the Manhearted).
Sindarin
emeldir
feminine name. Manhearted, *Manly-mother
Elements
Word Gloss emel “mother” dîr “man, man, [N.] adult male; agental suffix”
Emeldir
Emeldir
Wife of Barahir and mother of Beren, translated “Manhearted” (S/155). Patrick Wynne suggested that her name may be a combination of emel “mother” and dîr “man”, so literally meaning: “manly-mother” or “mother with manly courage” (VT48/17-18, note #14).