There is an ancestor named Jane Lamme born Kentucky around the time you have here. Her father was William Lamme. William Lamme had several wivies. One was Anna Patterson. This could have been Jane's mother and hence the Patterson Bain grandson. Often people named their child or grandchild the surname of a grandmother.
I don't have who Jane married but one of the other family researchers might. I am a descendent of Jonathan and Jessie , the sons of William Lamme and Margaret Reed. I don't have all of Joseph Ewing's sons but I noticed a few names like Nathan. Nathan was a brother to Jane.