Looking for information on Carson Buck or any other Bucks that emigrated from Denmark in the 1880s. And Gencima Frost or other Frosts who emigrated from Denmark around the same time.

Carson Buck b. abt 1856 Denmark. Emigrated in 1880 to the US. Naturalized in 1906 in Osage Co, KS
Listed as head of household in Osage Co, KS 1910 and 1920 census with his wife Gencima

Children: Nels N. Buck, George(Ges) Buck, Eric Buck, Louise Buck

Carson Buck and Erik frost are listed on The Index for Petitions for Naturalization at the Osage COunty Courthouse per the webpage. However, no one has ever gotten back to me(after several attempts). Research is now at a stand still. Any help would be appreciated
Thank You
Jayson Young