does she stop scratching at the doors once they are open ? if so maybe the scratching at the doors is just a signal that she dosnt want them closed. my animals will do the same if there is a closed door to a room they want to be in. of course once they are allowed in that room they dont want to go in anymore. they just dont want the door closed in case they MAY want to go in there at a later point.
When I was younger, I had a huge orange and white tiger cat. His name was Buffy and he hated to be excluded from anything. He always had to have his little nose into whatever you were doing.
If I shut the door to take a shower, he'd reach his paw under the door and shake the heck out of it. He'd be laying on the floor, with his little eye up to the crack under the door, trying to see what was going on.
Then, when I'd open the door, he'd jump up, and act dis-interested. He'd almost question you, what, what? It wasn't me, I didn't want anything.