Here's an excerpt from http://www.jitterbuzz.com/dance50.html about the dance called "The Stroll"

"The stroll is the classic line dance of the 1950's. It is performed to slow swing and rhythm and blues The stroll is popular throughout the swing scene in Europe (strange as it's an American dance). Less danced in the US, it's addictive so that this will soon change, especially if Ellen and Marc have anything to do with it.... You can stroll to loads of swing music, popular choices include - On Revival Day (Lavern Baker), Lavender Coffin (Lionel Hampton) and My Baby Just Cares For Me (Nina Simone). Strolling is also part ofthe film American Graffiti (George Lucas), with the eponympous song The Stroll by The Diamonds.

Origins

The stroll is done in two parallell lines (leads on one side, follows across the divide.) A simple basic step-pattern is performed in such a fashion that the line advances, or moves one pace with each pattern. Individuals on each end pair up and perform a "shine" routine as they proceed down the line; at the end, they separate and rejoin the lines. This formulation is part of many "contra" dances that were done in the US and Europe for centures. Thus, in one sense, the Stroll has been with us for a long time.

The emergence of the Stroll as a recognizable dance is due in large part to American Bandstand, a popular televised dance party that began in 1954. Initially, the show's regulars created the popular dance called the Bunny Hop. Following this success, the kids began churning out new dances for every new beat, including The Stroll, a slow, simple dance, where two lines - boys on one side, girls on the other - faced each other, shifting from left to right, then back again. The fun came when the couple met in the middle to strut down the aisle, all eyes on them. The dance was inspired by Chuck Willis' hit C.C. Rider. It became so popular that Willis was dubbed "King of the Stroll." But the dance soon got a song of its own when Dick Clark suggested to the Diamonds that they create a song specifically for the dance. The Diamonds hot with their hit Lil Darlin' (1957), struck gold again with The Stroll --- famous for its opening line,"Come, let's Stroll."..."