Thanks so much for your answer. It seem to work now.
CORRECTION: I must have included it incorrectly since I just noticed that it did still pull the first shipping method in the cart.
I now just receive the following error in the confirm.php page during checkout:
Warning: Cannot modify header information - headers already sent by (output started at /home/anderjoe/public_html/confirm.php:370) in /home/anderjoe/public_html/confirm.php on line 684
The order goes through and ship method seems to be inserted correctly but the confirm.php page does not change to the checkout_success.php page. I did put the code you provided directly above the "WA eCart Store Cart Summary in DB" code.
CORRECTION: The order does go through but the shipping method is still incorrect.
Where should I place the code so the order confirmation comes through?