Jobs at small Knoxville companies nobody posts about - first time posting

Two small Knoxville employers told me they are hiring but have not posted yet. Any experience at all would help. One is a print shop, one is an accounting firm and one is a clinic. Does anyone have similar leads?

A short email with two sentences about what you can do and your résumé attached worked for me. I followed up after a week.

Keep a list of who you contacted and when. It makes follow-ups easy.