@Macawnutz @Shezbug @Toy @expressmailtome.
Hi there. What size perch is she sleeping on? I wonder if it maybe too small for her? Normally when parrots sleep their feet for lack of a better term automatically tighten around their perch to keep them stable when they are roosting so that's a tad unusual that she keeps falling.
Is she elderly or have any known health issues?
Yes they can sleep in a cage without a perch some folks will do a dog crate with a soft blanket inside(as long as they don't chew and ingest the fabric)
Considering she's fallen numerous times and is plucking so much I'd really recommend a vet check asap to rule out any medical issues.