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.