Did you ever get information on your Periman family?
I can help you.Your Mary Periman b. 1853 was sister to my great grandmother Sarah Delilah Periman b. June 8, 1860.They were children of William Henry Periman b. July 1821 TN and Delilah Knight b. 1817 KY.
Other children were: James K.(Knight?) Periman b. 1844; Thomas Jefferson Periman b. Jan. 17, 1855.
I have other information which I will prepare.If you are interested, please post a message for me.