I don’t know much about Tilghman. I used to live in Dodge City, KS and remember a picture of the Dodge City Peace Commission.
Among those pictured was Wyatt Earp, Luke Short, Bill Tilghman, Bat Masterson and a couple of others I can’t recall right off hand.
I guess they were all prominent lawmen.
And mostly Crooks, that rarely shot anyone because they couldn't hit anything unless they used a shotgun.
My Great Grandfather was a U.S. Marshal in Kansas during Jessie James day, and there is an interesting story in family lore describing My Grandfathers encounter with Jessie and his gang, he lived to tell about it.