What did the eagle name the little girl it captured in The Eagle's Daughter?

Lidya Su.

In the fairy tale "The Eagle's Daughter", two eagles named the little girl Sulia, fed her well every day, and took good care of the little girl.

Eagle (hawk. eagle) generally refers to small to medium-sized diurnal hawk-like birds, especially species of the genus Accipiter (truehawk), including goshawks and sparrowhawks.