Aslam

Praise be to Allah.It was reported in a saheeh hadeeth that the child belongs

to the bed and the stone is for the adulterer, so it is not permissible for

the child to be given the name of the adulterer or of the mothers husband.

Rather, she should be called after her mother, so that her name will be So and

so the daughter of So and so [her mother]. Otherwise, her guardian should choose

for her a common name that cannot be attributed to any specific person. For

the girl who is asking this question, there is no sin on her at all because

of her parents sin, and if she is patient in putting up with any annoyance

as a result of it, she will be rewarded for that, in sha Allaah. And Allaah

knows best. See also Questions # 6195.