We know that Joseph Morton, Jr. died before his mother wrote her will. We can assume that he didn't have children since MaryAnn (Ragland) Morton didn't leave anything to Joseph Morton Jr.'s heirs.
Please see the attachment.
Sources
genealogy research done by Mrs. William N. Harrison (Lula Richards) deceased
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DNA Connections
It may be possible to confirm family relationships with Joseph by comparing test results with other carriers of his ancestors' Y-chromosome or mitochondrial DNA.
Y-chromosome DNA test-takers in his direct paternal line on WikiTree: