Well, it is probably not a match.This Dorothea had sibs Anna Christina b. 1757, Eva Rosina b. 1759, Johann Christoph b. 1760, Bartholomaeus b. 1764, Johann Ludwig b. 1764 (twins ?), Johann Andreas b. 1770, then Dorothea, Anna Eleonora b. 1779, Friderika Henriette b. 1781.
However, Erdmann was married twice prior, and I do not have children from these marriages. He was about 23 years older than his wife, Marriane.His first wife was Anna Christina, m. abt 1840, and his 2nd was Anna Barbara Cruschke who he m. 1754.
I have info on another Dorothea, b. 1763 but she does not match up with your info either. These early records show TETZLAFF's in Jastrow, Posen, Prussia (where I think mine are from)1712; Greifenhagen, Pomm., Prussia, 1816; Stettin and Thoren, Pomm., Prussia 1776; and Czarnikau and Wirsitz, Posen, Prussia, 1718.