We don't have any info on the What Four, except they are not the same band as the group that recorded for Columbia record, as they were all girls and this group is guys singing. The band seems to have been from Cincinnati.
They have one 45 to their credit, on the BoX label. This label issued a few records that seemed to be package deals where the group paid for the recording and records in the same deal. It has the same echoey sound that is heard on the later (post Apperson) Prism 45s.
Jim Hoerr was the songwriter and only known band member.
Whenever / Do You Believe - BoX 4000