The blurb I have is directly from notes given to me by Bill Quirin who at that time was assembling infor mation for his great book(s).
"To design its new golf the course the club turned to Seth Raynor, a native of Southampton who had been Charles Blair Macdonald's engineer at The National and Piping Rock, and was just beginning to design courses on his own. Raynor, assisted by former Garden City Golf Club professional H. H. Barker, responded with a 6171-yard layout that incorporated architectural ideas based on outstanding holes in the British Islas. Westhampton, like most courses designed by Macdonald and or Raynor, had a "Redan," a "Short," and a "Biarritz."
end of that paragraph - again this are from his original notes, not from his book. When I first began my researchBilly was insrumental in getting me going (as well as Dick Donovan (RIP) - rare book dealer). Bill kindly gave me all his information on the Macdonald Raynor and Banks courses he had visited.
That re-done "map" was on page 77 of the club history and along the bottom it said:
"Rough drawing of present course taken from Seth J. Raynor’s original mapo which hangs in the proshop"
the hole photo you posted is the 3rd - it is a sunken version of the Eden ( very weird - one of a kind), but fun
the Short hole is #11