Joseph was born before 1800.
While living in Amherst County, Virginia on April 24, 1841, Joseph's wife Phoebe wrote a letter to her sister, Elizabeth Rucker who had moved to Kentucky that included the " number of [Phebe's] children and other particulars, ..... we will state that we have nine children their names are as follows commencing at the eldest: Robert Abram Henry, Susan Mary, Amanda, Elizabeth Ann, Sarah Agnes and Malinda Frances twins, William Bourne, Leanna Jane and Joseph Creed the youngest nearly five years old."
He passed away after 1841.
It appears as this Joseph R. Carter may be comingled in some on-line databases with Joseph Carter (1786-1846) See e.g. https://www.ancestry.com/family-tree/person/tree/52520848/person/60000010007 The 1841 letter, however, indicates an address in Virginia and not in Indiana.
Have you taken a DNA test? If so, login to add it. If not, see our friends at Ancestry DNA.
Featured National Park champion connections: Joseph is 19 degrees from Theodore Roosevelt, 27 degrees from Stephanus Johannes Paulus Kruger, 21 degrees from George Catlin, 19 degrees from Marjory Douglas, 26 degrees from Sueko Embrey, 21 degrees from George Grinnell, 32 degrees from Anton Kröller, 22 degrees from Stephen Mather, 28 degrees from Kara McKean, 19 degrees from John Muir, 23 degrees from Victoria Hanover and 26 degrees from Charles Young on our single family tree. Login to find your connection.