I've got a couple of these and had to completely strip them down and clean etc. Obviously I can't see your detail but my suggestion is to follow some logics.
Make sure the main support sliding bars and the cast iron guides are not too worn. If they are you will get a lot of up and down play when the vice is coming out/in which then releases the half nut pressure on the worm thread - hence it will play up when trying to tighten or release. Some, you can rotate the main bars just 90 degrees - this can take out some of the play.
If the worm drive and nut is badly worn this too will cause an issue. Not much you can do though unless you find another vice and try swapping parts etc. The threads are normally worn over the first 2 to 4 inches where it's used most. If you pull it out as far as possible and it does not release, it's likely that the first 2 to 4 inch threads are worn.
What you can do and is one of the main problems, I found, is the quick release housings spring tension is insufficient. This is what holds the half nut against the worm drive shaft. Assuming your spring has some life left, you really have to make sure there is more than adequate tension. The tension is achieved by coiling the spring and locating the spring in the release mechanism bar slot. It's not easy but if you fit the spring easily it won't be enough, move it another 180 degree and possibly one more, and try it, but not over the top to cause breakage. Its easier if you can do this when it's fitted to the bench.
Sorry if I've misunderstood. If you need more help suggest you post some more photos.