na-adjective, nari-adjective (archaic / formal)
prone to crying; tearful
Archaic na-adjective describing a person who cries easily or is often in tears. In modern Japanese, 涙もろい or 泣き虫 are more common.
She is of a tearful disposition, and quickly cries even at small things.
Compound of 涙 (tears) and 勝ち (prone to, tending to). The exact historical derivation is uncertain, but the form follows classical patterns for expressing tendency.