Robert,
Several chapters in a book on Randall knives could likely be dedicated to the 'C' model sheath alone...
Suffice it to say though that the current 'C' model sheath as produced by Sullivan's Holster Shop in Tampa, FLA. is ambidextrious, yet can be ordered in a left handed model if you'd like...
Also, each RMK sheathmaker to date has had their own preference for keeper strap orientation, so knowing which maker you're referring too will tell you in many cases whether you're looking at either a right, or left handed version by that maker...
Here are some of the 'C' model sheaths as made by the various makers over the years, in the form of a repost from another forum users group of folks interested in Randall Knives...
Hope this helps,
Shel
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C Model sheaths; let us count the ways...
C. J. Moore Blk sheath, 5 flat rivets, Canteen strap, & Red translucent snap 1954
C. J. Moore Brn sheath, 5 flat rivets, Canteen strap & Red translucent snap 1954/55
H.H. Heiser Brn sheath, 7 domed rivets, Canteen strap & Brown Button snap 1955
H.H. Heiser Brn sheath, 8 domed rivets, Canteen strap & Brown Button snap 1955/58
H.H. Heiser Brn sheath, 8 flat rivets, Canteen strap & Brown Button snap 1958/62
M. Johnson Brn sheath, 8 flat rivets, Canteen strap & Brown Button snap mid 1962
M. Johnson Brn sheath, 7 flat rivets, Canteen strap & Brown Button snap late 1962
M. Johnson Brn Splitback sheath, 2 large-5 small rivets, Brown Button snaps 1963/early 64
M. Johnson Brn Splitback sheath, transition, Brown Button w/ Baby Dot snaps 1964
M. Johnson Brn Splitback sheath, 2 large-5 small rivets, Baby Dot snaps 1964/late 66
M. Johnson Brn Splitback sheath, 7 small rivets, Baby Dot snaps v. late 1966/early 67
M. Johnson Brn Roughback sheath, 7 small rivets, Baby Dot snaps 1967/mid 1972
M. Johnson Brn Roughback sheath, no rivets, Baby Dot snaps 1972 into 1985
J. Johnson Brn Roughback sheath, Baby Dot snaps 1985 into 1991
J. Johnson Brn Smoothback sheath, Baby Dot snaps 1988 thru 1991*
G. Gutcher, Sr. Sullivans Baby Dot double-stitched Model 15/17/18 sheath 1986
G. Gutcher, Sr. Sullivans Baby Dot standard C Model sheaths 1986 thru 1994
G. Gutcher, Sr. Sullivans Baby Dot/RMK Logo transition C Model sheaths 1995
G. Gutcher, Sr. Sullivans RMK Logo standard C Model sheaths 1995 thru current
Factor in the left-handed versions, the black versions, the customs by Sullivan's and that 'is' a boatload...
The Jack Crider 'C' model sheath actually seems more like a modified B Model IMO, based on the keeper strap type...
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The Nordic photo BTW is of a right-handed Sullivan's 'C' model sheath...
-S