There are very few situations when it is not in children's best interest to have paternity established. Paternity establishment can provide basic emotional, social and economic ties between a father and his child. Once paternity is established, a child gains legal rights and privileges. Among these may be rights to inheritance, rights to the father's medical and life insurance benefits, and to social security and possibly veterans' benefits.
The child also has a chance to develop a relationship with the father, and to develop a sense of identity and connection to the "other half" of his or her family.
It may be important for the health of the child for doctors to have knowledge of the father's medical history.
Your CSE agency is the best source of information about state laws and practices and about your case. Links to the state CSE websites are at: http://www.acf.hhs.gov/programs/cse/extinf.html