Does anyone have access to the 1984 dissertation of Franciscus Jozef van der Linden under Hendrik Lenstra? It is called *Euclidean Rings with two infinite primes*. The theory is that this has the details on Lenstra's three non-principal norm-Euclidean classes for real quadratic fields. In case it is a matter of copying a few pages, apparently the discussion takes place in Section 5.5; this is according to the 2012 dissertation of Pierre Lezowski:
http://genealogy.math.ndsu.nodak.edu/id.php?id=170068 and
http://www.math.u-bordeaux1.fr/~plezowsk/index.php

Note that I have written to both Pierre Lezowski and Hendrik Lenstra, and something may come of that in time. On the other hand, sometimes email gets shunted to spam folders, or people lack adequate time to reply.

http://genealogy.math.ndsu.nodak.edu/id.php?id=47922

See also:

"The Defenestration of Ermintrude Inch"

"The Love Song of J. Alfred Prufrock"

"The Prime of Miss Jean Brodie"

"The Picture of Dorian Gray"

"The Injudicious Prayers of Pombo the Idolater"

"The Coronation of Mr Thomas Shap"