There are two groups that have recorded under the name The Third Rail. 1. A bubblegum group active from 1967 -1968. 2. A jazz punk supergroup led by James "Blood" Ulmer 1. The Third Rail are mostly known for their small 1967 hit single "Run, Run, Run," which reached #53 and was included on the initial Nuggets compilation of 1960s garage and psychedelic rock. "Run, Run, Run" is actually not typical of most of what made up the Nuggets anthology, having nothing to do with garage rock.