The circumstances are interesting because Warren adjoins Logan, but I don't know. Matthew and William, sons of James, and their wives, who were sisters, were in what would become Logan County by around 1791. The names and approximate ages of Matthew's and wife Eleanor's children are on record, but I--at least--know little about the children of brother William and wife Esther. I lose them after 1812, but they probably had one son named James. I would not have been surprised at a son named Matthew, but the mother's name doesn't work.
Ebenezer, who was in Logan County, may have been a brother or cousin of Matthew and William because he and Matthew were supposed to have a salt mine together (only hearsay to me). They had a young nephew who visited around 1807 and 1808, and other family may have been there also, and one could have been parent to your Matthew.
Matthew's and William's father James did die around 1810, in Spartanburg County, SC.