Your ID looks correct to me, although several modifications have been made, see the especially the counters or the i dot. These might be alternates in Rootin Tootin. Or it’s another digitization based on the same source. Canada Type’s Rawhide is largely identical to Rootin Tootin. They mention the original source is an early 1960s film type called Yippie. Rawhide has no lowercase, though.
Your best bet is to ask directly at Jukebox Fonts whether Rootin Tootin is still available for licensing: https://www.jukeboxfonts.com/pages/about-us