Hanoverian soldiers

It is very generous of you to volunteer a search.
What time era is this? I am looking for a Julius Wilhelm Burgdorf who was born about 1825 in Hildasheim in Hanover. He emigrated to New Orleans in 1859 and listed his place of origin as Baddeckenstedt Germany, a small village near Hildasheim. His name is sometimes listed as J. W. Burgdorf.
Thank you for any help,