I believe Anthony's wife is an Anna Eva, no surname given. This information is found online, records of Rev. John Walschmidt, record reads:
Jacob Dornbach, baptism, son of Anthony and Anna Eva, May 18, 1765.
In addition in the book "Westerwalt to America" by Annette Kunselman Burgert and Henry Z. Jones, Jr., the following is stated on page 58:
"There was also a "Johannes (X) Dornbach" listed separately from Johann Heinrich and Johann Theis (Matthias), Dornbach on the Aurora in 1744... A Johannes Dornebach, s/o Johann Wilhelm Dornebach at Wied, md. Christina Catharina, d/o the late Johann Wilhelm Fasteneuer from Merckelbach, 13 May 1721 at 5238 Hachenburg/Altstadt (9 km. w. of Bad Marienbrg; Chbks. begin 1661, Ref., but gaps). The Altstadt registers there show that Christina Catharina, w/o Johannes Dornbach from Wied, was bur. 26 May 1740. This family should be investigated for connectives to the Johannes Dornbach of 1744 and to the John, Anthony, and Jacob Dornbaugh in the 1790 census of Cocalico Twp, PA."
My line of Dornbachs came from the same area, Johann Heinrich, and Johann Mathias were on the same boat as your father of Anthony, Aurora in 1744. They settled near Centerville, Berks County. So far no-one knows if they are all related, but it seems very likely that they are.