Someone at rimfireforum.com should be able to help you.
http://www.lymanproducts.com/lymanproducts/LymanUsersGuide.pdf
The Winchester Model 68 bolt action single shot .22 was made from 1934-46. It did not have a rear sight mounted on the barrel, but had a receiver mounted Winchester No. 96A peep sight (books at $20-40). As options, Winchester offered the Lyman No. 55W or 57ES Receiver Sights ($25-75). The hunt for old gunsights can pretty interesting. Lyman is still in business, and may be of some help. Good luck. By the way, the rifle (with sights) books from $275 at 100% to $50 at 60% condition.
Yes, I have one with the base and no peep. I am trying to find one everything I have found is that the original site was made by Lyman.
Follow instructions in owner's manual. Take it to a gun shop. Get a manual from Lyman.
Will Lyman's birth name is William Remington Lyman.
The address of the Lyman Branch Library is: 204 E Sage, Lyman, 82937 0839
The address of the Lyman Public Library is: 313 Jeffers Street, Lyman, 69352 0384
Impossible to answer without knowing who made it
Georgia Lyman's birth name is Georgia O. Lyman.
Lyman Potts's birth name is J. Lyman Potts.
Lyman Chen is 6'.
Lyman Williams is 6'.