The name of hazrat Yousaf's wife is not mentioned in the Qur'an. The woman who tried to lure him is said to be Zuleikha. Niether Qur'an nor Hadith in any way clearly indicate the Hazrat Yousaf married her when she was a widow.
In The Bible, the woman Joseph married was named Asenath. Coptic Bibles translate her name in Arabic as: Asnaat (أسنات). The Qur'an and Hadith do not mention Asenath.
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Joseph's wife's name was Asenath, she was the daughter of Potiphera. (see related link below)
I think his wifes name is Photophara (POT-A-FAR-A)