When a mother names you the father of her child in California, you should do everything possible to verify it is the truth. Being the legal father of a child means you become responsible for that child. This includes financial support. If you find out later that you are not really the father, you have little recourse. Sometimes, a mother will name someone even though she is not sure he is the father. According to Very Well Family, this is paternity fraud.
Domestic violence is about power and control. The children of domestic violence victims are often caught in the middle.