The other time traveler in 1882 couldn't be from 1972 and have a Kashmir tattoo because the album Physical Graffiti didn't come out until 1975.
When they first show Wayne Tillerson in bed there is a ventilator operating on the stand, yet he is only wearing a nasal cannula that trickles pure oxygen into the nose. These do not operate together. He would have a tube down his throat and be unable to talk if he was actually on the ventilator.
Wayne's oxygen machine is completely silent. Totally impossible.
Oxygen generators are not safe to be operated near an open flame or wood fire.