I don't have all that much knowledge of out of print 1960s music for the simple reason that I wasn't actually around for most of the 1960s. This is about the best I can find at short notice... It ended up on a fairly obscure (and long out of print) compilation of 1960s garage rock and I've never seen it anywhere else.
I know nothing about the band or about the song (even whether it is an original or a cover) so whether or not it's appropriate to this month's theme is anyone's guess.