Did the crow Indians live by a river?

Answer 1

The original Crow homelands in the area that became southern Montana and northern Wyoming had a few major watercourses: the Missouri, the Yellowstone, the Bighorn, the Little Bighorn, Powder River and Little Missouri were all within tribal lands.

In between these rivers there were very large areas of Plains with no water at all for many miles; it was possible to travel for many days without finding water.

So there were certainly rivers in and around the Crow hunting grounds, but often camps would be set up far from a river in order to be close to the buffalo herds. In that sense they did not continuously "live by a river".