OK here's what ended up happening with this problem. I realized my MH 30 amp extension cord that came with it plus the 30 amp one I use at home is long enough to use at my sister's. I also bought a 30 amp Hughes power watchdog, and one 30amp to 20amp converter and one 30 amp to 15 amp converter in case hers are actually only 15 amps. She's having all of her outdoor receptacles changed out since she said they were too old anyway.
I'm working on a back up generator and getting my in house one fixed. My experience has not been good with service places. It's like it costs 1k the second you pull in and then they don't even always fix the problem. I'm not laying that kind of money out for that loud ass Onan 4000. I'm going to find a local person I can trust to work on it. It's probably just a gummed up carburetor. God I hate 10% ethanol gas. I actually have bought another one to replace it but gashed my dominant hand open last week and it's not working right now, or probably for a while. (I's an impressive gash believe me.) I think I've troubleshot or replaced every other thing on the generator that could be causing the problem.
Thanks everyone so much for all your help.