I will be traveling on July 3rd to DFW with my 2 month old and my wife the baby will be in one of our laps the entire flight and have tried calling American Airlines to set up a reservation saying she will be in the lap nothing confirmed need help.

Should be fine but check

Rules vary from airline to airline, I believe your fine but I would suggest that you confirm with the airline.

Joshua please make sure with American airlines before your travel ...most of time staff members always helpful..but make sure call 800 numbers they pretty good people