I think, and you have no details on your profile, that your friends would be around your age and you were not a child before mid 1960's when this was common. You may not have read about this on many other sites as they tend not to deal so much with real cases, more fantasy. From what you are saying any parent that used a cane on a childs bottom did so for sexual pleasure. Sorry but facts di not support it from pre 2000.
If you want to read about double punishments you want to read books that have been written telling their life story before 1980's.