On wife demise her share in mother property would be inherited by her husband and daughter equally

Father can execute gift deed of his share in property in favour of his daughter

1. on death of wife her property devolves upon her children and husband.

2. The marriage of daughter has no consequence in this.

3.The husband has no share in the property left by his mother in law.

Does a Husband have the right to get a share of the property in his wife's mother name after the demise of his wife even if he has a married daughter from his deceased wife. If so in what way will the property be divided

If his wife's mother is reported to have died intestate then he properties left behind by her shall devolve on all her own legal heirs, to which his deceased wife is also entitled to an equal share.

This share of property shall be acquired jointly by the husband of the deceased wife and their children

Can he transfer his share of his wife's mother's property to his daughter while both the husband and the daughter are alive.

Yes he can execute a registered release deed relinquishing his rights in her favor.

The property then automatically gets transferred to her name.