AITAH for not paying child support?

Okay, so basically my now ex and I were expecting a child but she miscarried at 8 months. That was 6 months ago. We broke up when she was 3 months along but agreed that we'd co-parent. After it happened I sent her some gifts and a heartfelt text to let her know I was sorry for what happened and that I cared. She sent back a "Thank you" and that was the last I had heard from her in 6 months. Next thing I know she's blowing up my phone asking me where child support money is. I was like "wtf you mean child support? We don't have a child" Shr goes on to tell me that she's struggling mentally from the miscarriage and has been needing therapy and rehab and can't afford any of those things. And since all that came from the baby I helped create that technically I need to pay her at least 3k a month for all the months she carried the baby. I said that was bs and that I would not be doing that and she said she would take me to court. I have a good job and make good money, yes I could fork over 24K but I just feel like I'm being used because I've never heard of anyone paying child support to a child that is no longer living.