The Collaborative International Dictionary of English v.0.48:

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.
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   2. A small image of an infant; a doll.
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   Babies in the eyes, the minute reflection which one sees of
      one's self in the eyes of another.
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            She clung about his neck, gave him ten kisses,
            Toyed with his locks, looked babies in his eyes.
                                                  --Heywood.
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