Why does the Torah insert the name of Asher's daughter?
Rashi : Because of the amazing fact that she was still alive. 1
Ramban, Moshav Zekenim (both citing Targum Onkelos): She was the daughter (not of Asher, but) of Asher's wife 2
Why does it say "and the name of Asher's daughter was Serach"? And why does Targum Onkelos say that she was the daughter of his wife?
Da'as Zekenim #1, Hadar Zekenim #1: It seems that she was not Asher's daughter, rather, his wife's, and became he raised her, she was called on his name. He had only his name on her (but no true relation to her). 1
Da'as Zekenim #2, Hadar Zekenim #2: Since her name was very famous for Chasidus and good deeds, it says "and the name." The Targum is difficult.
Refer to 26:46:1:2.
Da'as Zekenim, Hadar Zekenim: This is difficult. If her father was from another Shevet, she should be listed under that Shevet. If her father was not from Yisrael, she is not from Yisrael!