Joseph & Josephine, along with several of their children, are listed in the 1850 census in Lebanon Township, Meigs County, Ohio. I have Joseph born about 1819, probably in Meigs County, to one of the 7 sons (James, Samuel, Thompson, Andrew John, Robert, William, and David) of John Pickens, born 1852 in Ballymoney Parish, County Antrim, Ireland. John was a soldier in the Revolutionary War. My rough guess is that Joseph may have been the son of David & Sarah (Anderson) Pickens, possibly born about 1819 in Meigs County. I concur with you on their children, although I also have a Bart F. (1861)and a Julia (1865).
I have Joseph marrying Samantha Moore on 9/1/1869 in Gallia County, Ohio. Joseph & Samantha are shown in the 1880 census in Rome Township, Lawrence County, Ohio. They may have had 4 children (Benjamin, Ella, John, & Joseph).
I hope this info is of help to you.