What you have generally agrees with information I have, with the exception that I cannot find evidence that J. Georg is son of Andraes. It is my understanding that the Oberdigisheim church records list the following children for Andraes and Anna Catharina (the cross indicates that the child died soon after birth):
1) Catharina 13 Oct 1724
2) Johannes 27 Dec 1725 +
3) Johannes 1 Jan 1727
4) Johann Adam 12 Jul 1728+
5) Johann Adam 9 Oct 1729 +
6) Anna Maria 26 Dec 1730
7) Andreas 13 Oct 1732 +
8) Anna 18 Jan 1734 +
9) Dorothea 14 FEb 1735
10) Barbara 9 June 1736+
11) Matthaus 5 Jun 1737
12) Andreas 8 Feb 1739
13) Simon 28 Oct 1740 +
14) Johann Peter 9 Sep 1742 +
15) Peter 9 Nov 1743 +
16) Jacob 16 May 1745
Number 3 is the only candidate, but he is known to have married a woman named Anna Maria, and to have died 1807 in Lancaster Co., PA. J. George married Anna Eva Mikesell and died circa 1800 in Franklin Co., VA. We believe that his birthdate was 1729, although I have seen it listed as late as 1733 - I believe that the 1727 date comes from confusion with number 3, above. Since he cannot be number 3, as you see there simply is no "room" for him to be a member of this family. ..... Thus the frustration!
Bob Harter