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Toldos Tanaaim V'Amoroim Volume 2 Page 137 says that it is highly unlikely that Rabbi Yehuda ben Bava was the son of Bava ben Buta. Bava ben Buta lived in the times of Hordos (73/74 BCE - 4 BCE - source) and was a student of Shamai Hazakain (50 BCE–30 CE - source) while Rabbi Yehuda ben Bava was killed after Churban Beitar (135 CE - source).