The big-screen translation of the successful television show of the 1950's. Arden stars as Connie Brooks, wisecracking English teacher at Madison High School, still hoping to tie the knot with shy biology teacher Philip Boynton (Robert Rockwell).

After the sudden death of magazine publisher Colonel Ryder, his nephew, Tony inherits the magazine and has big plans to expand it. While negotiating a loan from the bank, Tony gets a call from a detective surrounding his uncle's death. It turns out Colonel Ryder died in his hotel room with a smile on his face and a young woman was seen fleeing his room wearing only a towel. Suspicious of this woman and afraid the magazine's wholesome image may be tarnished and their loan denied, Tony asks the detective to stick around and find her.

Ice-cold college dean Susan Middlecott feels there's no room in her life for romance. Enter Prof. Alec Stevenson, British lecturer on astronomy, touring North America and in possession of a keepsake of Susan's he wants to return. Desperate for publicity, lecture bureau press agent Teddy Evans magnifies this into a great romance. The efforts of both dignified principals to quash the story have the opposite effect; matters get more and more involved.

When secretive new neighbors move in next door, suburbanite Ray Peterson and his friends let their paranoia get the best of them as they start to suspect the newcomers of evildoings and commence an investigation. But it's hardly how Ray, who much prefers drinking beer, reading his newspaper and watching a ball game on the tube expected to spend his vacation.