LONG & BLUNT POST:
So this has been going on for 3 days?
You need to decide
1) why do you have this bird- if it is primarily for eggs, you should cull her, likely she will never be a good layer with this bad start- if she even makes it through this episode. If you can't do it yourself, then take her to someone who can.
2) if this is primarily a pet, and you want to keep her despite a diminished future production ability- then you need to either take her to a vet that can or is willing to try treating a bird NOW, or take her to a poultry experienced person who is willing to help her, or take your chances and try to do it yourself. The longer the egg sits there not moving, the more likely it will adhere (stick) to the tissues and be harder to get out. Scar tissue forms, less chance for other eggs to get through there.
The egg is stuck either because there is something wrong about the egg (too big, too rough, ect) or something wrong with the bird- low calcium, abnormal reproductive tract, other disease, ect.
What a vet would probably do is sedate the bird, give her pain medications (not aspirin- there are better and safer NSAIDs than that), give her fluids, calcium, lube her vent , push it from the outside to where they could see it at the opening to the vent- and implode the egg- then leave her alone in a warm/dark/quiet place to push it out. Handling her is stressful, the more anyone handles her the more stressed she is and she puts less energy into getting the egg out and staying alive.
IF you are stuck with no-one to help your bird but you- stop noodling around with lubricating her, giving her aspirin, and bathing her- and go and break the egg. If you can see it, you can get it. Hold her firmly, feel her belly with your hands on the outside, feel the egg inside of her (your hands and fingers are still on the outside), gently but firmly press it to where you can see it. Hold it with one hand, and break it with a hard instrument at the point where you can see it. Practice on some eggs from your refrigerator so you will know how hard to rap. It is surprisingly hard, and will be harder in the stuck egg as you described as with the rough surface, it is probably too thick. Do not pull out the broken pieces- let her push it out on her own. You are more likely to damage her with the pieces than than she is. If her oviduct is cut by accident or on purpose- the risk for scar tissue will be increased , and likelyhood of future egg binding is increased. There is a possibility you will injure her with this- but if the egg stays there where it is- she will continue to suffer and eventually will die- likely soon. You are her caretaker- so either cull her, take her to someone who can help her- best bet is a good vet- get in the car- even if you live in the middle of nowhere- I assume you can drive into somewhere, or continue to try to help her yourself- but do MORE and do it NOW.
Good luck, and again, the best chance she had to resolve this with no long term consequences was in the first day- her chances diminish the longer this goes on.
Jess