Jobs at small Providence companies nobody posts about (Providence)

Two small Providence employers told me they are hiring but have not posted yet. I have been trying to stay organised about it. One is a print shop, one is an accounting firm and one is a clinic. What do you write in a cold email?

Thanks for writing this out. I went through something close to it 6 months ago, and it got easier once I kept a simple log of every call and form.