I believe there are at least two more spellings of this name. Stierhem and Stierheimer. I have some information on both,.
at least from the Pa. and Connecticut period. Apparently this family moved back and forth from Pa. to Indiana/Illinois. My part settled in Conn. and I have the history from there on.

I have been working with Shaun via Ancestry to fill in a lot of the blanks. If you think we might have a connection, just email. I'm willing to share.
Cecelia