V.T.
I've flown Southwest, USAir, Hawaiian, VIrgin America and American when my daughter was under 2 and never had to pay any fees for her to sit on my lap. However, when I did fly overseas, Lufthansa charged me 10% of the ticket price. USAir and Virgin America were the only 2 to ask about a lap child prior to my arrival to the airport. I never had any trouble with any airlines. Just be prepared to show proof of age. My daughter is tall for her age, and from about 18 months on, we were asked for proof of age.