The eight eldest children (of 17!) of the Wolfgramm family from Minneapolis, MN, decided to start a band. From 1986, this family band had a cute, innocent hit song. It would not be their only hit, but it was their first big one.
The song itself was pretty standard pop/R&B that was appropriate for the era, but it was less sleazy... more innocent than its contemporaries. The video continued the theme of innocence, and showed eight brothers and sisters just having a good time performing a fun, lighthearted song about the confirmation of a crush.
And yes. They were named after the gang from "West Side Story."