Hi A.!
I'm not sure how much help I'll be but maybe encouragement is what you need to hear....I have 3 kids and the first wouldn't sleep anywhere but in MY BED. So, I would have been very grateful if he'd slept in a swing!! My 2nd and 3rd babies slept in bed with me til about 2 months and then I moved them to their cribs. I also put them on their bellies.....I know I KNOW, so not something a first time mom (and several 2nd, 3rd, etc.. time moms won't do either) but that is what got my other babies to sleep! I was terrified of doing that with my 1st, but I think if I had, we would have ended the sleep battles much sooner!
Anyway...regardless of that...it sounds like she does sleep in it at night? Is the room able to be dark in the daytime for naps? Maybe that would help? How does she fall asleep at night when she does sleep there? Are you doing anything different for naps? (for instance my kids got used to being rocked and nursed to sleep....or jiggled on my chest while I'm on the computer...LOL!)
Good luck and be grateful she will sleep somewhere other than on your chest (some babies will only sleep being held!), and know that she WILL outgrow it. Its hard to see the light at the end of the tunnel sometimes when its your first baby! :) Hang in there and she will start to ease up about where she sleeps for naps!!