Is the eldest sister obligated to execute the deceased mother's will to send "gifts" to the sisters from money the mother secretly saved from household expenses before her death?

The father's stinginess does not permit the mother to take from his money without his permission, except for the obligatory maintenance for herself and her children. The amount the mother gave to the eldest sister from the father's money must be returned to him or his permission must be sought; otherwise, it must be returned because it is his money.