Did the Tlingit Indians ride horses?

No. The Inuit people (the tribes European settlers called "Eskimos") live in the far north of the North America. This habitat is far too cold for horses to survive in. Instead, the Inuit rely on their own two feet, some dogsleds, and would take to the open water to hunt seals and whales. In modern times, the Inuit have also adopted the machines of Caucasians including snowmobiles and cars.