Section 10 Rule 4 of the Hindu Succession Act would apply in your case. However, a few questions need to be answered here. Did your mother relinquish her share or not? Was there a will made by your mother's father? If the answer to these questions are no then you can claim your mother's share in the property of her father.
Under the Hindu Succession Act, 1956 in Section 8 (Rules for Ownership in case of Males), it has been stated that the son of predeceased daugher will consider as a Class I heir. Thus, you can claim for property.
However, predeceased daughter in Indian law says a natural daughter or an adopted daughter only as step or illegitimate daughter are not allowed here will be considered as a valid whether she is of void marriage or annulled by the Court. Her marital and financial status is of no mean here.