Best I can determine, a Monroe Miller was your father's grandfather and my father's uncle.
It's _possible_ that you and I are indeed related - 3rd cousins or something like that. That Sara Adc___ item is pretty encouraging. This is the first link to the Millers that I've found.
Can you provide any dates? Like I said, by the 1900 census, Sara had re-married, but she'd already had her children by Mr. Miller (Monroe and my grandmother). Monroe was older than my grandmother, who was born in 1888. She used to visit Monroe whenever she returned to Muhlenburg County. I never met him.