At my mom's insistence I tried to poach another, better egg. I tried salting the water like Sarah suggested, used a slotted spoon (which I'm embarrassed to say I had not thought of before), and put some vinegar in the cup i cracked the egg into to help it stay together more.
This one turned out a lot better. It was still a bit runny, but I'm getting there. I just need to cook it longer I think.
In other news, I made a pasta sauce last night that tasted exactly like barf. It even had the same texture and looked like it. Win some/lose some I guess.