Confirmation Number?

After asking a previous question, someone mentioned that a confirmation number and identification was all i needed in order to get my plane ticket ( i ordered online). Is this true? The reason im not sure is because the credit card used to buy the ticket is not mine (its my parents) and they wont be traveling with me and i will not have the card when i travel, so i was not sure if they would allow me on the plane without proof that it was my mom who purchased the ticket. Would they even look at who purchased the ticket because my mom and i don't share the same last name so there's technically no way to tell shes my mom.

JUST PRINT THE BOARDING PASS FROM YOU HOME.(www.southwest) click on check-in - Your mom should have the confirmation number given to her while making the reservation.
bring a valid id with picture, should match YOUR name on the boarding pass.
Does not matter you pay for it, nor the method of payment.

why don't you call the airline and ask them if you're that concerned?
my guess is that an airline wouldn't care WHO bought the ticket, as long as the passenger name and id match and they get their money.