It's important to note that this census record says she was a widow, but lists her last name at birth as Strecker via the name of her father, Wilhelm Strecker. This record does not mentioned her married surname. Neither the Kulberg Reports nor Danish immigration records show anyone with that surname.
She was living with the Johann Georg Abig family at the time of the 1767 census. Living quite close to them was Friedrich Strecker, 10 years older than Anna Margaretha, who was from the Württemberg area and was living with his wife and newborn daughter. It's possible that Anna Margaretha and Friedrich were siblings, with Wilhelm Strecker as their father. If Anna Margaretha was Friedrich's younger sister, it's not clear why she wasn't living with him. It's possible that the Abigs were related to the Streckers. Based on their similar ages, they may have been first cousins or perhaps more loosely related. They also may have been related to her deceased husband. There was only one Abig family listed in the Kulberg Reports, and that was the family with whom she was living in 1767.
Head of the Household Anna Margaretha Strecker, age 18, widow
Father Wilhelm Strecker
Note Lives with Johann Georg Abich/Abig family
Pleve, Igor. List of Colonists to Russia in 1766, "Reports by Ivan Kulberg," Ministry of Education and Science of Russian Federation, Saratov State Technical University; Published in Saratov, Russia 2010.
Eichhorn, Alexander, Dr., and Dr. Jacob and Mary Eichhorn. The Immigration of German Colonists to Denmark and Their Subsequent Emigration to Russia in the Years 1759-1766, Druck and Bindung: Druckerei and Verlap Steinmeier GmbH & Co. KG, 86738, Deiningen, Germany; Published 2012.
Pleve, Igor. Einwanderung in das Wolgagebiet 1764-1767, Band 2, Herausgegeben von Alfred Eisfeld under Mitarbeit von Sabine Eichwald, Published by the Nordost-Instsitut - 38085 Göttingen, 2005; page 81, family #56a.