I was wondering where the 116 surviving machines are. These are not the type you see in Utah (American made 4-4-0). Instead they were built for rough (sometimes temporary) track and steep inclines. Often used in mining and logging.
Edit: They have a link to their known locations.
Wikipedia also has a list that is a bit easier to read: https://en.wikipedia.org/wiki/Shay_locomotive#Survivors
If you are in Sili Valley and want to see a Shay, cross the hill to Felton to Roaring Camp for one of their excursion trains.