"TWO TICKETS TO TEN STRIKE"
Eddie Halstead ran the Hotel Madera in North Fork, New Mexico, back in the 1880s. Although his duties running the hotel kept him tied down, there were times when he had to leave North Fork on business or to visit his once ne'er-do-well daughter (seen below).
On one of those trips, Eddie spent a night in the town of Faro City. There he ran into Bret Maverick and recognized the gambler from Ten Strike where Maverick had gunned down a man who tried to kill him.
Luckily, John Harmon's character in the 'Maverick' episode wasn't named so we can make this claim that these two characters were one and the same.