Daisy has flown with me a couple of times. The first time I drugged her because I thought it would be easier on her. I totally don't recommend it. The other times I didn't drug her and she was fine the whole flight. She mostly slept... or just sat there quietly staring at my feet. Either way, she was no trouble at all. The most stressful part is going through security because you have to take her out of bag so they can x-ray it and walk her through the human metal detector. Daisy freaked a bit because she didn't know what was going on and there were tons of people around yelling, "LOOK AT THE PUPPY!"
I usually fly American. They don't require a health certificate, but some airlines do. You should check on that. I usually get one from my vet anyway just in case. (Daisy is on a health plan so I get them for free.) I also get a copy of her rabies vaccine certificate, just in case. They've never asked for any of these things, but I feel better having them with me. Also, I know American requires a rabies vaccine within a year of the flight. Some states only require them every 3 years, so if she hasn't had one this year, you should check on that too.
My only other advice is dress her in something warm. You know how chilly airplanes can get. Oh, and be sure to walk her at the last possible moment before you get on the plane. I will usually take away Daisy's food the night before and not give her breakfast, but for a two hour flight, you should be fine, I think.
As a side note, American charges $80 each way AND she counts as my carry-on. It makes me really mad that I have to pay extra AND can't bring a carry-on. I'm tempted to just sneak her on (no one has ever asked for documentation that I paid the pet fee or anything), but then I think, "What if I get caught?" When I moved to Dallas and brought my cat with me, the pet fee was only like $40. That was only 4 years ago. It seems like it gets more expensive every year
