A child can receive three benefits from social security:
-survivor benefits
-disability benefits
-regular retirement benefits.
In case the father would die the child could receive survivor benefits until she is 18 in the amount of 75% of the father's benefits. The same amount would go to the child if she is disabled.
There is also a maximum amount for the family, that is between 150-180 % of the basic benefit, so if there would be 10 surviving children, each one would get much less than the 75%.
Disability benefits can be paid to the child either if the worker (father) becomes disabled or the child becomes disabled before she is 22. The same maximum amount restrictions apply.
Regular retirement benefits would be paid if the father regularly retires, up to 50% of what the father's benefits are, again subject to the family maximum.
To figure out how much money that would be one would need the social security records. Only the SSA office can help you here.