I have info on several Henry Leverings. Thedate you have indicates to me the one you are looking for was born 12/27/1802 to Enoch and Hannah(Brown)Levering. He married Jane Work of Fairfield Ohio in March of 1834. They relocated to Medway Arkansas. Hannah died in 1836. He was remarried to Ann Prospect.
I do have info on his children. Does this sound like the Henry you are looking for?