Thanks to a marriage record for Mary Crawford and Alexander Moore in 1793 in Madison County, I've been able to learn more about Mary Crawford.
Mary Crawford is shown on the tax lists for Madison County, Kentucky in 1787, 1789 and 1791. According to the document, "Tax Lists (1792-1840): An Overlooked Resource for Kentucky History and Land Title" by Kandie Adkinson, Land Office, Ky. Secretary of State, "women are included on the tax lists if they are the head of household." Thus, I've long assumed that Mary was a widow living in early Kentucky.