Gottlieb Schultz is listed in the 1767 Grimm census, which indicates that he probably immigrated with those Germans who came to Russia in 1766. A search for his name in the standard immigration books has come up empty.
His name was most likely inadvertently omitted.
There were two people who might be matches who were first immigrants to Denmark.
B-1529 Johann Gabriel Schultz, born 1716, was too old to be a match with the Gottlieb of this profile who was born in 1742.
B-1531 Johann Gottfried Carsten Schulz spelled his name slightly different from the Gottlieb of this profile, but the names are similar enough to point out a possible match. There is no age given for him and it looks like he wasn't married. The fact that he was single is not an issue, since this was before his immigration to Russia, an he most likely started out as a single immigrant who married along the way.
According to the 1767 census, Gottlieb Schultz was from the Darmstadt area. That may not be his place of birth, however, just the last place he lived before immigrating to Russia. He may have also been from a small town or village in the Darmstadt area, but gave Darmstadt as the general place from where he came.
Head of the Household: Gottlieb Schultz, 27, Lutheran craftsman from Darmstadt
Wife: Sophia Annette Schultz, 37
Stepson: Ludwig, 12 [no surname given]
Daughter: Sophia, 7 [probably also a stepdaughter]
Daughter: Maria Katharina Schultz, 2 weeks old
Daughter Sophia was also probably a stepdaughter based on the fact that she and her brother Ludwig have the surname Vitkher in the 1775 census, most likely a Russian interpretation of the name Victor. His wife Sophia Annette was married to her first husband during their journey to the Volga region of Russia. Upon his death, she married Gottlieb Schultz and their first child was born less than a year later.
Step-Son Johann Dietrich Zisch, age 26, son of wife Anna Maria and her deceased husband Christian Zisch
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.
Rauschenbach, Georg. Deutsche Kolonisten auf dem Weg von St. Petersburg nach Saratow, Transportlisten von 1766-1767, Published in Moscow, Russia, 2017.
↑Transport of the Volga Germans from Oranienbaum to the Colonies on the Volga 1766-1767. Translated and edited by Brent Alan Mai; Published by the American Historical Society of Germans from Russia, Lincoln, Nebraska, 1998.
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; page 597.
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 76, family #26.
↑The 1775 and 1798 Census of the German Colony on the Volga, Lesnoy Karamysh, also known as Grimm; Published by the American Historical Society of Germans from Russia, Lincoln, NE, USA; Published 1995, family #110.
↑The 1775 and 1798 Census of the German Colony on the Volga, Lesnoy Karamysh, also known as Grimm; Published by the American Historical Society of Germans from Russia, Lincoln, Nebraska, USA; Published date: 1995; family #27 in the 1798 census, Gottlieb Schultz family.