There are two bands known as The Squires. An early surf rock band and a garage band. 1. The Squires were a Canadian surf rock band from Winnipeg, most known in music history as being an early band of Neil Young. 2. The Squires were an American garage band in the 1960s, who have a claim to being the quintessential example of the genre. They released just one single, which failed to be even a regional hit, but which is now regarded as a classic of its era.