The 2nd record you should have bought at that time to go with the Kingsmen is/was ‘96 Tears’ by ? and the Mysterians. Get in your time machine right away!
That came out towards the end of August, 1966 and Boss Radio KHJ blasted it all around the Southland at 930 kilocycles, 50,000 watts strong. When they played it on one of the dance programs on TV-I believe it was Lloyd Thaxton's--they didn't show the group lip-synching, but instead showed some scenes of life among American Indians. Apparently, Question Mark & the Mysterians wanted to remain mysterious.
But there were a lot of groups like that on KHJ: