She may just be plucking because she is sitting on the eggs. If this is a single bird sitting on eggs, I would go ahead and throw the eggs away. This will encourage her to groom herself and get back to her normal routine. You can mist her with a spray bottle and that should make her groom herself and get clean. Usually a parrot does not need to be cleaned off. She should clean the poop off of her feathers on her own.
It’s not good for her to lay eggs as a single bird, so I would recommend making some changes to try to discourage her. If she continues to lay eggs, she may need to be taken to the vet for hormone treatments.
You need to do all of these things to discourage egg laying. Keep in mind that to lay eggs, she needs longer daylight, warmer weather, abundant food, and a quiet, private environment. Your goal is to reverse these conditions.
Limit her light to 8-10 hours by covering the cage early each evening
Do not give her anything to use as a nest – no bird huts or tents, no box, bowl, etc. If she decides to sit in a food bowl, remove it and replace with smaller cups.
Do not give her anything to shred such as paper or cardboard.
Rearrange the toys in the cage frequently.
Move the cage to a different place in the room. Move the cage about once a week, or whenever she shows signs of nesting – settling on the cage floor for example.
If she is let out of the cage, do not let her get in any dark cozy places and don’t give her free roam.
When you handle her, limit any petting to her head and neck – do not pet her on the body.
If there is no metal floor grate, then do not use any bedding or paper in the cage tray – leave it bare and clean it daily.