Your Martha (Connor) Carn's mother, Barbara Moorer b. l772 Orangeburg Dist. (as were all the others in last message) her twin married a Shuler. Barbara was a daughter of Jacob Moorer b.l746 O/burg married 2nd, Mary _____. Jacob Mary Moorer supplied Beef PorK for the army are counted as Patroitic Service for those wanting to join the D.A.R. or S.A.R. Some records show Barbara her siblings as being children of Jacob's lst wife, Ann E. _____. but all D.A.R. applications under Jacob Moorer show his 2nd wife, Mary.

Jacob Moorer b. l746 was a son of John Moorer b. l723 Switzerland d. l772 Orangeburg Dist. who married Elizabeth Ulmer. John Moorer arrived in S.C. the same year but later than his father his older brother.
John Moorer b. l723 son of Peter Moorer/Murer Sr. b. 4 Mar l670 Switzerland d. 21 Dec l758 O/burg . Peter's wife, name unknown died in Holland while they were waiting for the ship to go to S.C.. Peter Moorer/Murer Sr. his oldest son Peter Jr. sailed on the ship "Samuel" (Maxine also has a line thru Peter Jr.)
Peter Moorer/Murer b. l670, son of Jacob Murer b. l627 Switzerland his wife, Elsbetgh Stalmann
Jacob Murer b. l627, son of Rudolph Murer bapt. l4 Dec l596 Switzerland his wife, Anna Zweidler.
Rudolph Murer, son of Ulrich Murer b. ca. l564 Switzerland his wife, Ursula Fries.
Ulrich Murer, son of Cenntz Murer b. ca. l530 Canton Zurich, Switzerland (as were all down to Peter Jr. his brother John). Cenntz Murer owned a vineyard. That's as far back as any of us can go on the Moorer/Murer line.