Sporty K. Still at this museum?
apparently it is: http://www.mtfca.com/discus/messages/331880/405263.html?1386075489
Yes, it is still at Pioneer Village in Minden. Minden Nebraska is about ten miles south of interstate 80 near Kearney Nebraska (where the "Arch" is across the interstate.
Nelson Holmwood, a former owner is seated in the same car, probably in the 1960s. This Model K has an aftermarket body, and is one of the earliest chassis still existing. The chassis should be a late summer or early fall 1906 built car (#26X) I've looked at the car somewhat closely and it looks like a professionally made speedster body.
Another photo of the same car with an in identified youngster in the pic:
Thank you for thinking of the Harold Warp Pioneer Village Foundation. Yes
the 1906 Model K is still on display in the main building.
Harold Warp Pioneer Village Foundation