Family #23 in the 1767 Grimm census.
Anna Balzer is first mentioned in the Kulberg Lists, traveling with her family from Darmstadt, Germany to Russia.
Kulberg Reports 
The family left Leubeck on the Pink Lev and arrived in Russia on 22 July 1766. 
By the time the first census was taken in Grimm in 1767, her mother was a widow, and she was no longer living with her family.
1767 Grimm Census Records 
Her mother, the widow Anna, and two of her siblings are listed in family #20.
Her brother Andreas is listed in another family.
Anna most likely married a fellow traveler Christian Heinrich Heilm [sic] and is listed with his family in that first Grimm census.
Regarding the surname Heilm, This appears to be one case where a surname has been misspelled. There were no other Heilms in any Grimm census records, nor any in the 1798 Census for the Volga German Colonies. A search of German birth records shows the most likely spelling to be Helm, although it could also be Heil. In the Volga German there were Heim, Helm, and Hein surnames. I haven't had a chance to go through all the possibilities to look for a match, but I do know that none lived in Grimm, where her brother Andreas remained, or Stephan, where her siblings Johannes and Elisabeth lived.
The couple does not appear in the 1775 or 1798 Grimm censuses. There is one possible exceptions:
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