Probably born in Germany/Prussia prior to his mother's arrival in the Odessa region.
Sources
August Schulz was age 16 in the Mühlhausendorf census of 1813-16. Mother is widow Christina Surau age 40 (formerly Schulz) whose last name at birth is unknown. She married Joseph Surau sometime after 1808 but had no recorded children from that marriage. Christina's grandson Johann Schulz (born ca. 1835) eventually married Maria Surau (Joseph's Surau's grand-niece) in the late 1850s.
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