I believe you mean Rock Hill. I doubt you could find records of employment, the most they would likely tell you is that the person worked there. Sometimes newspaper articles would say the names of patients admitted or discharged from a hospital in smaller towns, but the hospital would not likely give any personal information.
I notice that Google news archives has the Rock hill newspaper. You might try searching on google with the name in quotes, i.e. "jane doe" "rock hill" and see if you get any hits. Also, you may have better luck putting your query on the York County message board.