OED gives the first mention of this game in 1600:
1600 S. Rowlands Letting of Humors Blood iv. 64 At hot-cockles, leape-frogge, or blindman-buffe.
Now I want to know how to play hot-cockles!
- 05.145 Then it was like a horrible game of blind-man’s-buff.
“blind-man’s-buff, n.” OED Online. Oxford University Press, June 2017. Web. 5 September 2017.