Russell also writes on another occasion after a disastrous river crossing in which all of the parties equipment was lost on a raft which was swept down-stream “We were now on the side (of the stream) from whence we started, without a single article of bedding except an old cloth tent whilst the rain poured incessantly.” The tent was probably made of canvass. Russell doesn’t describe the tent in any way, but it may well have been one of the types described below.
The one important fact of period shelters, is that while the "Companies" and some of the military may have had tents sewn specifically as a Wedge-Tent, or a Wall-Tent, and later Pyramid Tents, the average "free trapper" of the Rocky Mountains would have had only one type of material to make his shelter: a square or rectangular piece of canvas, oil-cloth, or blanket.


Diamond Shelter: Another variation of the lean-to, where the same piece of cloth was attached at a corner to a single point, with the opposite corner staked to the ground. The other corners were then staked out to form a "plow-" or "diamond-" shaped shelter.
Lean-tos: This is one of the simplest and most basic forms of shelter. It is a variation where an entire edge of the trapper's cloth is attached to the ridgepole or rope, while the opposite side is staked to the ground. This arrangment provides more sheltered space, but does not provide very good protection from the weather. There is no doubt that the mountain men sheltered under lean-tos because a canvas sheet had so many other uses in addition to being used as a shelter.This set-up allowed for close quarters of its inhabitants, but also provided a greater amount of protection from the elements.

Wicki-up: This type of shelter is reminiscent of the tipi, and may have been created when a party of trappers had choosen to trap together, or if they anticipated a lengthy stay. It is constructed with a simple tripod foundation and additional poles set in place. The frame-work is covered with pieces of canvas or blankets, and the loose ends secured. Ropes were sometimes wound around the top of the framework and staked down inside the shelter to provide stability in the wind.

Of course, any type of shelter than could have been made, probably was. And while there isn't any known documentaion of free trappers living in tipis year-round, in the end, it is up to you to decide how authentic you wish to portray history.