The Collaborative International Dictionary
Babies in the eyes
Baby \Ba"by\ (b[=a]"b[y^]), n.; pl. Babies (-b[i^]z). [Dim. of babe.] An infant or young child of either sex; a babe.
2. A small image of an infant; a doll.
Babies in the eyes, the minute reflection which one sees of one's self in the eyes of another.
She clung about his neck, gave him ten kisses,
Toyed with his locks, looked babies in his eyes.
--Heywood.
Wiktionary
babies in the eyes
n. The minute reflection which one sees of oneself in the eyes of another.