You won't find a city or county birth record because Missoui didn't reqire them until 1910. I looked for him in the Pre-1910 Birth Index but he's not there. You might find a church record of his birth. You might find it in an old newspaper announcement.
You mentioned that you had the Census records so I didn't look for those.
If you want his father's info you must provide his father's name and about when and where he was born.
Michael J. Carr
Died: Jan 8, 1949
Buried: McKeesport and Versailles Cemetery, McKeesport, Allegheny Co. Pennsylvania
I'm not familiar with Pennsylvania and don't know where to send you to find his obit.
You should post in each state and county where you think each event took place. Then an expert in that area of the county can reply with the answer or tell you where to search for the answer. Successful Searching!