She lives in Louisiana and I live in Texas who are unmarried and I was wondering what kind of obligations I have is a father

You are obligated to pay child support under the guidelines in the Texas Family Code. You are also required to provide medical insurance for the child. If you do not set up child support through the state, you may owe arrears. If you have been sending the mother money, you should keep a record of what you have sent. You also have a right to access and possession of the child. You have a right to spend time with the child as well as call or video chat with the child.