Information passed down by a family member tells of a Mrs. Mary Strait who married Joseph McDermit (McDerment) before 1821 in (poss. Bergen County) NJ. Her b. is abt. 1797 in NJ (?). They came to Frnklin Co., OH bet. 1828 & 1831.
The only other thing I know about Mary is this: Death certificate of her son James McCool McDERMENT, informant Edmund F. Arras attorney & son-in-law) indicates maiden name of James' mnother is Mary Holderman, born in Germany. Census records indicate NJ.
I know this does'nt help you a bit, but possibly there is a connection between the two families going back to NJ.
Let's hope someone reads these postings and can offer us some help.