Need Help Troubleshooting Brake Troubles

B.S. It's a bad booster.
Had this exact thing happen before.
Call Booster Dewy He has great knowledge of power boosters.
I would separate the master from the booster and see how it works. Studs are long enough to get a good gap there. I'm no expert but seems to me the booster would work right, pedal would return, even if there was no fluid or vacuum. I have seen a couple of bad valves. One that would lock up just the right rear wheel of a front wheel drive car with light pedal effort. The pedal always returned though.
So I ran a couple of tests after I got home from work... I disconnected the vacuum hose from the booster and plugged up the vacuum hose leading to the engine so I wouldn't have a loss of vacuum from the engine. When I drove the car without the booster it worked fine. I had to press the brake hard but the pedal did not compress to the floorboard. I then reattached the vacuum hose and the pedal compressed all the way down with the slightest touch, hard braked and wouldn't release unless I pulled it up with my foot... I also tried tapping the brake immediately after turning off the car to see if the booster would retain the vacuum and compress the pedal to the floor. It didn't. I don't think that this has anything to the with the valve and everything to do with the booster.... thoughts?