You are a stranger to that child in the eyes of the law until you establish paternity and obtain an order concerning visitation and child support. Until you do that, you have no right to see the child.
You "can't afford an [attorney," or you just don't want to pay for one? Like you, we don't like to work for free.
The foregoing does not establish an attorney client relationship with Attorney Stephen D. Gregg. The answer given is not legal advice and is only given for educational purposes.
At this point, you have two choices: Comply with Mother's demands and continue to foster a relationship with your child 2) Refuse Mother's demands and understand that her attempts to estrange the child from you will be strengthened by your lack of presence. Either way, you should immediately file for custody/parental rights and strive for a shared parenting plan. This is a very tough thing to accomplish without counsel, but you have a right to proceed "pro se". The longer you wait, the more an attorney will cost you because your issues become tougher to argue on your behalf. There are far too many twists and turns along the litigation path to cover in here. I am available to speak with you in more detail with a free consultation. Call 614/207-1673.
Disclaimer - I am a practicing attorney in Ohio. The law varies state to state. This is being offered as general legal education. There is no explicit or implicit offer to provide legal representation.