Here's some trivia about the clip taken from IMDb:
The accident involving the wagon carrying Martha (Maureen O'Hara) and Hilary (Juliet Mills) ahead of the stampede was real. The women were supposed to be thrown clear, but instead, the wagon rolled over them. Fortunately, there was a camera pit underneath the wagon allowing the stuntwomen, Stephanie Epper and Patty Elder, enough space to be kept from being crushed. They survived with slight injuries and shock. Director Andrew V. McLaglen kept the scene in the film.
https://www.imdb.com/title/tt0060884/trivia?item=tr1783130
While this film isn't the best western ever, it does have good classic actors that help it and some good stunts, even when they go wrong.