Name that band

Their leader’s name is Terry. He’s not a great singer but sings and writes a lot of the songs. Their drummer is relentless, his name starts with a “T” and has a Japanese wife with 2 kids. The guitar player plays a Telecaster, used to be a really big guy but has since lost a bunch of weight. The bass player has a silky voice, plays swingin’ bass parts and his name starts with a “J”. Their keyboard player is an amazing player and a complete NUT! They know a lot of songs and everyone sings at least one a night. Figgered it out yet? Well there’s 2 answers really…
NRBQ AND The OakTeam.