Like Phil, I find yoir question, now struckthrough, difficult to understand.
As you are heading down the DNA route, I suggest that you get as many living descendants as you can tested. Upload your and their raw data to other sites to cover more bases. Ignore the ethnicity - look at the people who match with you.
Look at your closest marches, and matches in common with matches, for any clues. Contact matches in case they are willing or able to help you.
What is Charles’ surname? It might help people to help you, if you can supply some more relevant facts.
We are all in the same boat when looking at families in the 1800s - all ancestors from all except the most recent generations are dead.
As a place to start, do you have Charles’ marriage certificate? This should give his father’s name and occupation. From that you might be able to find him in a census or two, possibly with a wife and other children. Do you have Charles in any censuses?