The title seems to be completely false. I had a look at the bill, and I can't find anything in in that indicates that the father of the child can sue the mother. It reads to me that the mother cannot be sued.
(c The following individuals are excluded from liability under this1 subchapter:
(1) A woman who receives or attempts to receive a dismemberment abortion; "
I can't actually see any proof that a rapist can press charges either.In the list of people who can press charges, the man has to be married to the pregnant woman, and thus is not a rapist in the traditional sense
"(b)(1) A cause of action for civil damages against a person who has 28 purposely violated this subchapter may be maintained by:
B) The father of the unborn child, if the father is 32 married to the woman at the time the dismemberment abortion was performed (...)
I might be missing something, but neither part of the title appears to be true.
Here's the bill by the way