Factual error: The distance from Lee's Ferry to Lordsburg is over 500 miles, not a trivial distance by stage coach. But in fact, the stagecoach travels several times through Monument Valley, back and forth. Monument Valley is on Navajo Reservation, nowhere near the Apaches or Geronimo.
Factual error: This movie takes place in 1880. Near the end, Luke has a "dead man's hand" with "Bee" cards which did not start being made until 1892 (which is why 92 appears on the spade ace in those decks).