Looking for ancestor's

About how many Buchholz's were listed in Mecklenburg-Schwerin around 1838 ? My GGrandfather John Christian Ludwig Buchholz and his brother Franz was from Mecklenburg-Schwerin and came to U.S. in 1870. My GGrandfather was born in 1838 and I am asking if some one could find a birth cert. of his birth.
Thank You
Bruce R. Bucholtz
USA