Perhaps we ought not discount the possibility that sometimes "Ida" may be the "secular" version of the popular Yiddish name "Aidel" meaning fine/delicate. Although generally it became "Adel" or "Adeline" it possibly may become "Ida". To this very day "Idy" as a nickname for "Aidel" is a fairly common name in the Chasidic community, which takes great pride in the precise continuity of the Jewish names it gives its children.
