Hi! In "Historical and etymological dictionary of transcarpathian ukrainians surnames" ("×ó÷êà Ï. Ï. Ïð³çâèùà çàêàðïàòñüêèõ óêðà¿íö³â: ³ñòîðèêî-åòèìîëîã³÷íèé ñëîâíèê / Ï. Ï. ×ó÷êà. - Ëüâ³â : Ñâ³ò, 2005. - 704 ñ." - in Ukrainian) our surname is antroponim. It comes from Croatian male name Miloya. Transcarpathia was settled by the tribe "White Croats" in the VI-X centuries.