A question about the EIC

Hello, I am wondering if my girlfriend is eligible for the EIC for our son, even though I am already claiming him and as head of household. She was only able to work for 4 months of the year and made aprox. 7,000$.

When filing with turbotax it lets me add our son as a "Nondependent - for EIC/dependent care only". Is this accurate even if she and our son lived with me and I paid all of our expenses?