Patricia,
I'm not sure if these folks can be any help for your Harry Best question. They have statistics on mining fatalities, but not sure if they have specific names too. Here is a link to the statistic page for State of Arizona Mine Inspector, which also includes his email. You never know!
http://www.asmi.state.az.us/fatal.pdfAlso, Arizona has a new Vital Statistic record website that may come in handy.
http://genealogy.az.gov/Jo Brown