Based on your question, I would assume that you are asking about taxes that are being paid on real estate which was owned by a decedent. The Court may give the heir a right of some kind of reimbursement if the property is ever sold, but generally the heir that is paying the taxes will not have any additional ownership rights in the property. However, much will depend on if the heir is paying the taxes or is purchasing them. If the heir is paying the property tax bill when it is due, then the...
You generally cannot just sign over your rights to a child. Parental rights must be terminated by court order. Your best bet is to see if the step-father wishes to adopt the child and if so your rights may be terminated by the Family Court. Otherwise, you should consider exercising your visitation rights with the child, which, depending on the situation, may require you to hire an attorney who can petition the Court for an order giving you visitation. Good luck.