In the UK, Wally Whyton recorded the song on 1962, and 1963 - as Ten in A Bed. This was on all time Children's Favourites LP's - implying that it was already a standard.. he only claims for the arrangement. With the LP and single format, the first inclusion of short children's counting songs on specific Children's/Nursery releases seems to take off - plus their use in sing a long books.   The earliest LP recording I can find so far is the 1958 one. There is not a recording existing or noted anywhere on the Internet for the song 'There Were Nine Men in A Boarding House Bed'. Yet there is sheet music for it.    Ten in the Bed/Roll Over has endless variants, it can be five in the bed, Kittens etc.