Despite the two marriage registrations to Conrad Goldmann, I have found no evidence that Anna Carels and Anna Ritz are not the same woman. Ritz was Anna' s first husband's name. Here's the message from findagrave:
"A[nn]a Ursula Ritz (c. 1675-1748), was a daughter of Jois Ritz, a 'citizen Bermerheims.' She married Johann Conrad Goldman (c. 1664-c. 1712), a widower, on 25 November 1700, at Gundheim, Germany. Around 1709, they and their five chiidren left Germany and went to Holland, the first part of a migration that led to their arrival in New York in the summer of 1710. Apparently, two of the children died at sea, because a list of those in the Palatine camp at Hunterstown, east bank of the Hudson River, New York dated 4 July 1710, lists the Goldman family with two adults and three children. By 1bout 1717, Anna Ursula is listed as Widow Goldman, with three children." In her notes on genealogy.com, Sandy Speight says she was the widow Ritz when Conrad married her in 1700 and not the daughter of Jois Ritz. Given the records and these two sources, was
Anna Ritz born as Anna Carels or did Anna Carels marry an entirely different Conrad Goldmann is 1703? There's still the problem of whether Anna (Ritz) Goldman was daughter of or wife of Jois Ritz.