you can search for burials at http://history.utah.gov/apps/burials/execute/searchburials
you can also look for cemeteries in the area at http://history.utah.gov/apps/burials/execute/searchcemetery
If they died in Tintic. I would think they would be buried in Tintic or Eureka. There are a lot of ghost towns in the area. You would probably need help finding the cemeteries. Eureka still exists and they have a museum. Someone there may be able to direct you to more information.
Also Tintic sometimes refers to the mining area, not always a specific town. I think the museum in Eureka is actually called the Tintic Mining Museum.
Tintic is in Juab County, but close to Utah County. Records may be there.
You might also want to search the digital newspaper collection at http://www.lib.utah.edu/digital/unews/
perhaps they will have an obituary or other useful information. They are still adding to this collection, so you may want to see what they have already digitized and what they are currently working on.