Yorkie pups tend to need to do every 2-3 hours. And with you being gone for 11 hours the puppy has to relieve itself somewhere. I agree with previous posters about the ex pen with potty pads inside. I hope it helps. I don't know if you have read this but this might help with any other questions you may have about your puppy.
http://www.yorkietalk.com/forums/gen...w-parents.html
Good luck!