Hey Mike!

Boy did you come to the right place with that question!

A bit o' history 1st. The group formed around the very early start of the folk movement and played a few places here & there until they got a label deal.
In late 1962 they recorded,"Walk Right In" & other songs for their debut album. "W.R.I." was released as a single and became the second #1 song of 1963,with three weeks at #1!

(For the further story of that song consult,"The Billboard Book Of #1 Hits.) The song was a 1920's hillbilly/country song,which is a few steps faster.
The follow up single,"Tom Cat" barely even made it into the top 40. One of the members of the group stated that after the success of "Walk",they really couldn't find as good a song again,so by the late 60s,they broke up. Singer Carroll Hester passed away in 1982.
Lastly,I found at my local oldies store a full casstte of,"The Best Of The Rooftop Singers". It has those hits & "Mama Don't Allow" (a honkey tonk piano classic) ...and lots of other songs by them too.
Hope that ans's your Q. Mike!

Later!