Can my mother put my son’s father on child support?

I (20s), live with my mom and I have a son. I take care of him and buy him things. His father buys essentials for our son too. However, my mom feels like she buys everything for our son, which she does on her own well. I never ask her to buy toys or clothes. Now she is upset and threatening to file for child support, on my behalf. I’m against this because my sons father struggles with money already. He gives what he can when he can and I am fine with that. Help? via /r/Parenting http://bit.ly/2TdfQr0