Hello again. Still puzzling over this one.
1. OH's two matches descended from GGgrandfather and Mary Ann who share DNA with DM are uncle and niece to each other. (Surprise in this is that the uncle, SH (half 3rd cousin to OH) is the match sharing 11cM; his niece DH (half 3rd cousin 1x removed to OH) is the match sharing 45cM).
2. The only other match from GGgrandfather's 1st marriage is another half 3rd cousin (23cM), descended from a different child of GGgrandfather and Mary Ann. This person is not a shared match with DM.
3. All other matches from GGrandfather's family descend from his siblings, or from further back. Many of them match with the descendents of Mary Ann. None of them match with DM, or with anyone else connected to Emma's family.
4. I am very doubtful that GGrandfather was at all related to Emma's family, both from the paper trail which goes back to the 17thC for him, and for geographical reasons - but of course it can't be ruled out entirely.
5. Mary Ann's daughter, from whom the two matches to DM are descended, married a Scotsman, from a Scottish family. Again, geography tends to rule out a connection between him and Emma's family. Her daughter married a missionary from the West Country, and settled in the US, where the ancestor of SH and DH mentioned in paragraph 1 married someone from a German family.
5. It's possible that Emma's German father was related to this family (they don't share a surname). I have never been able to discover where he came from, although looking at the trees of the closest matches that OH has who have German ancestry tends to indicate that he came from somewhere in or near the Alsace region.
6. However, as far as I can see, the ancestors of SH and DH came from a place east of Berlin, near the Polish border, and hundreds of miles from Alsace. Of course there is nothing definite about the Alsace origin idea, so I can't rule out a connection in Germany, but neither is there any obvious link.
7. Emma's brother John was a full sibling, but a lot older. Two matches descended from him are a 4th cousin (6cM) and 4th cousin 1x removed (18cM). So as IJDisney says, perhaps it isn't significant that they aren't shared matches with DM, or with SH and DH. On the other hand if they
were shared with SH and DH, it would point more strongly to a common ancestor from Germany.
8. Ultimately, on the face of it DM, as a descendent of Emma's sister Caroline should not have common ancestry with descendents of GGgrandfather's first wife. The simple explanation that came to mind was that GGgrandfather was the father of Caroline's eldest son (at the time he was born she had been married for about two and a half years).
Use of a chromosome browser would help, but currently not feasible.
And comparing photos of GGgrandfather and his wife's nephew doesn't quite rule it out.
https://i.postimg.cc/Jz80psm4/CG.jpghttps://i.postimg.cc/J09mD27z/LM.jpg