Family B-983 in The Immigration of German Colonists to Denmark and Their Subsequent Emigration to Russia in the Years 1759-1766.
Family Rus14-28 in The Immigration of German Colonists to Denmark and Their Subsequent Emigration to Russia in the Years 1759-1766.
Family #24 in the 1775 Grimm census.
Heinrich Linden was born in 1734 in Staffort, Karlsruhe, Markgrafshaft Baden-Durlach. His wife's name was Maria Sibilla Frizol, born 10 Oct 1728, from Neckar, Wuerttemberg. Those villages were about 25 miles apart in southwest Germany. They married about 1755, and had two children:
Much of the southern tier of Germany had been ravaged by war and famine. As a day laborer, Heinrich was not very skilled and he found menial jobs to do for a daily wage. He was concerned about being able to provide for his family, as well as to find a way for his children to lead a better life than he had.
In 1759, Danish King Frederick V invited Germans from Hessen and the Palantinate to help settle the area of Schleswig-Holstein, at that time under the control of the Danes. The king was interested in converting the marsh lands to arable farm land. Germans were known for their good farming skills and for being hard workers, so it seemed like a win-win situation both both Danes and Germans. Heinrich decided the opportunity to immigrate to Denmark with his family was too attractive to pass up.
He and his family arrived in the city of Schleswig, Denmark on 09 May 1761 and took their oath of allegiance to Denmark on 24 July 1761.  In August of 1761 they lived at 19 Staffeldt in Colony G2 Friderichsfeld, in the district of Gottorf.
The marshlands were very inhospitable to all farmers, especially an inexperienced one like Heinrich. Although Germans were good farmers with typical farm land, it was far more difficult to convert these former wetlands and grow crops. Most of the German immigrants barely reaped enough to feed their families, let alone to provide food for others in Denmark.
In 1764 Heinrich was relieved of his duties. Those like him who lost their jobs, and there were many of them, did so because of their inability to farm the Danish marshlands.
Around that same time, Catherine the Great invited Germans to immigrate to Russia. This offered Heinrich and his family a opportunity for a new, prosperous life.
It is unclear when the family left Denmark for Russia, but they are included on an immigration list of German Danish colonists who traveled to Grimm Russia. 
Note: His surname is spelled multiple ways.
In the reference book The Immigration of German Colonists to Denmark and Their Subsequent Emigration to Russia in the Years 1759-1766, Heinrich's surname is spelled Linden in one list and Linde in another. The 1775 Grimm census spells the surname Linde.
He is not listed in the 1767 Grimm census, but he does appear with his family in the 1775 census.
1775 Grimm Census 
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