This belongs on everyone's list of impossibly cheap and incredibly terrible movies. But it was directed by Jerry Warren, so what did you expect?
Four teenagers are kidnapped by a female scientist (played by Katherine Victor) who is experimenting with nerve gas on a small island. Two of their friends come to look for them, they try to escape, and we find ourselves in the middle of a typical, bad 1950s teen horror movie plot.
The dialogue is dumb, the acting is mechanical (and the actors have a TERRIBLE sense of timing when delivering their lines - - I suspect Jerry Warren's lack of talent as a director had a lot to do with this), the sets are almost bare (hardly any furniture or props), and the camera almost never moves. Most scenes are in medium shots with no editing - - the old proscenium arch technique - - sort of like watching a filmed stage play.
Unlikely as it may seem, Jerry Warren came back years later with FRANKENSTEIN ISLAND (1981), a terrible movie that shares some of the same elements as TEENAGE ZOMBIES (including actress Katherine Victor!)
This one scores very high on the stink-o-meter. If you must watch it, you can find it in Mill Creek's TALES OF TERROR 50 MOVIE PACK.