@jenmar My experience is somewhat similar, yet altogether different. I've heard for years "Never disturb a sleeping Basenji." and "Never touch a Basenjis feet while they're sleeping." Apparently they get rather irritated.
Never had that issue with Jengo... ever. Logan was the same when I first brought him home. After he settled in, learned the routine, and who sat where on the couch... he decided to start asserting himself. I'd get up to go get something and he'd move straight into my seat and just stare at me when I returned. I'd reach for him and he'd start growling! Freaked me out. Never had a dog do that before and just assumed it was a warning just before a snap or a bite. Anyway, this happened a few times, so I contacted my breeder. She'd never seen him do this. I kept an eye on this and eventually would reach across him while he was growling and give him a nudge. He'd growl again, but he never ever snapped or bit. What I finally figured out was... He's just a really vocal talkative dog. He's verbal. Still, I wanted to end it and get his head out of being territorial. When I returned I learned to do so with a kibble or another small snack. "Want a cookie?" He'd pop up right away, get down and sit nicely. He was happy and I got my seat back.
I like the idea of talking or whispering to her before you move her. Let her know it's coming. Give her a second to put all the pieces together. I know with both our dogs, in the morning, if I scratch their heads a little they will spin around and sniff my hand. Once they get the sent they know they're good, then I can move them anywhere I want. I always give them a little time though. Maybe keep a kibble or two handy to bribe her with. Just watch her weight. I hope you find a solution. I can sense your frustration.