1. As per the wordings of the WILL, the property was bequeathed to your mother, father and the children born out of their wedlock in the future.However for the exact reading of the WILL , we need to see the document content.
2. The wordings means the property was bequeathed to your mom and her family comprising husband and children.
3. Your mom alone cannot decide about dispersing it property though it was given by her father , as she , her husband and all children born out of the wedlock have equal share in it .
A WILL is interpreted on its words content , If the WILL is bequeathed only addressing your mother and entrusted her to take care of the family , then only she has the right and she can disperse/transfer it to anyone as she wants .
If it was bequeathed to your mother and father and their future children then all are beneficiaries and your mother cannot gift this to anyone or disperse it without consent of other Parties of the WILL.
It is advisable you contact a lawyer and show the WILL , who will tell you how it can be worked out. If you can send Copy by mail or upload the same we can help you with that.