OK, call me heartless… Just saying, the deceased mom owned half the house and probably would have liked to see the money go to her daughter. The husband owned the other half and can do as he pleases. He has another family now and I believe that he should be able to do whatever he wants. He may choose to give it all to his bio-daughter or he may choose to split it. It’s up to him.
Regarding the other question… It makes no difference what the ex-husband does. Half of the house goes his daughter. That is fixed. Anything else, he can do whatever he wants.