Scott, the "F-Hole" 4005 is likely one of the "Rose-Morris 3261." I don't have the full story on these, and have only photographed the one owned by Gary Clauson:
as I explained somewhere else in the RRF, a bunch of RM3261 were sold here in Italy... A friend of mine, from Florence, still owns a mint conditions one, purchased in late 60s
another 3261 appeared on the ebay Italy months ago...