So, this won't be terribly helpful and you may already have it, but if you notice on Ancestry.com the picture of Charles Woodson Harris has the caption "Harris, Charles Woodson Family" with the number F485 next to it? Do you have or have you seen the article that picture came from? It appears to be from a series of genealogical books that were popular in the 1980s and 1990s. I have ones for Chickasaw County, Mississippi and Yalobusha County, Mississippi. Historical societies put them together with the assistance of a commercial publisher. People in the communities wrote up their own family histories with whatever info they might have. The two I have are from different publishers but their formats are identical so it looks like the company doing them was bought out or changed names. The Yalobusha County one was published in 1982 by National ShareGraphics Inc. (Dallas, TX) ; and the Chickasaw County one was published 1997 by Curtis Media Inc. (Bedford, TX). Maybe there is one for Pontotoc County or somewhere in Texas? Maybe a call to historical society might yield a copy of the article (if you don't already have it)? Sometimes the articles had info from family bibles or that sort of thing.
And while I understand that you are asserting that there is no evidence of a connection here, one of the main things I sometimes do to distinguish unrelated families is to work on the family that I want to distinguish. Working on the Charles Woodson Harris family could either lead you to a connection or it could help you rule that family out.