I remember the old Whipsnade Cheetah Paddocks. Wire mesh and the cubs were born in a little shed at the back. The original breeding pair were 'Juanita' and the male ? (I seem to remember he was very tame, even 'leash-trained')
I think you will find the males name was Jack and yes they did have much breeding success in the early years and from what I remember bred over 100 cubs. One of the things that were claimed that helped them in the breeding was they only introduced the male from time to time and did not keep them togeather as "a pair" as other zoos were doing at the time