How can I find the book to which these notes were taken?  It is
definitely a book written in English before 1935 on the subject of
Ancient Greek philosophy up to and including the Sceptics, and
probably published in Britian. The following are extracts - probably
taken verbatim (certainly the pre-Socratic translations in quotation
marks are translated word for word)- from the book in question on
individual philosophers:
(Thales)
"All things are full of gods."
Magnet animated because it attracts iron.
(Anaximander)
"All things must in equity again decline into that whence they have
their origin; for they must give satisfaction and atonement for
injustice, each in the order of time."
"Definite individual experience constitutes an injustice and must be
atoned for by extinction."
His "infinite" as vague as Hesiod's chaos, something intermediate
between Water and air, or air and fire.
(Heraclitus)
"Moistened soul of the drunken is unwise."
For him it is not possible to step down twice into the same stream. 
For Cratylus not possible even once.
"The driest soul is the wisest and best."  When fire in man is
quenched by damp, reason is lost."
(Empedocles)
First pluralist.
Jumps into crater of Aetna to prove his divinity.
Precursor of Darwin and Shopenhauer.
(Socrates)
Adversary of Sophists.  Pupil of Prodicus.  Son of Sophroniscus, a
sculptor, and Phainarete, a midwife, whose profession he claimed to
follow.  Boasted about his daemon.  Became the butt of Athenian
comedy.  Ridiculed by Aristophanes in his Clouds.  Condemned on
grounds of refusing to recognise the national gods and of perverting
youth.  He left no writings.  Our only sources of information Xenophon
and Plato.
Antishtemes
Rousseau of antiquity
O Antisthene j'apercois ton orgueil a travers les trous de ton
manteau!
(Plato)
His idealism antithesis of materialism of Democritus and
sensationalism of Sophists
Born in the year that Pericles dies.  His real name Aristocles. 
Called Plato on account of his broad brow (or shoulders).
....
The book is definitely not one by A.W. Benn, W. Windelband, J. Burnet,
H. Diels, or Beare.
The question: how can I locate this one specific book?

Hi superfluous1-ga,

Well, I'm forced to post this as a comment rather than an answer
because all I can tell you is which books these notes are NOT from.

I did a search of the Questia Online Library ---  
http://www.questia.com/  ---  for some of the key quoted phrases you
provided. Unfortunately, after searching all 45,000 books, I came up
empty handed.

The first thing I did was search the whole library for the phrase "All
things are full of gods". Of course this netted some results as it is
a quote from Thales.

"The saying that "all things are full of gods" is attributed to
Thales…"

[ John Burnet, Greek Philosophy. Part I, Thales to Plato (London:
Macmillan & Co., 1914) 32.  ]

Then I searched within those results for 2 more of your quotes and
netted no returns. I then switched tacks and searched for all books
with the subject : GREEK PHILOSOPHY pubished before 1935. This netted
me 35 books. I searched within those books for several more of your
quotes, but again got no returns.

For your use, my search strategy and results, along with the 8 books
on Greek Philosophy are listed below.


----------------------------

Search parameters in Questia


Search ALL BOOKS  for Phrases ---

"All things are full of gods"
"Moistened soul of the drunken"
"The driest soul is the wisest" 


--------------------------------

Results ---

Returns for  "All things are full of gods"   = 35 books
Returns for "Moistened soul of the drunken" within those results = 0
Returns for "The driest soul is the wisest" within those results = 0

----------------------------

Specific Returns for search of : 

SUBJECT:  Greek Philosophy
Published before 1935

8 books – listed below 

Searched each one for various other phrases. None found. 

--------------------------


Bevan, Edwyn. Later Greek Religion. Ed. Barker, Ernest. London: J.M.
Dent & Sons, Ltd., 1927.

Bonner, Campbell, ed. A Papyrus Codex of the Shepherd of Hermas
(Similitudes 2-9), with a Fragment of the Mandates.  Ann Arbor:
University of Michigan Press, 1934.

Livingstone, R. W., ed. The Mission of Greece: Some Greek Views of
Life in the Roman World.  Oxford: The Clarendon Press, 1928.

Oakeley, Hilda D. Greek Ethical Thought from Homer to the Stoics.
London: J. M. Dent & Sons Ltd., 1925.

Plato. The Myths of Plato. Trans. Stewart, J. A. London: Macmillan,
1905.

Sextus. Sextus Empiricus. Trans. Bury, R. G. London: William Heinemann
Ltd, 1933.

Whittaker, Thomas. Macrobius ; B Or, Philosophy, Science and Letters
in the Year 400. Cambridge:  , 1923.

Wright, J. The Phaedrus, Lysis, and Protagoras of Plato: a New and
Literal Translation Mainly from the Text of Bekker. London: Macmillan
and Co., Limited, 1921.
 

-------------------------------

Sorry I couldn't find your book for you. You may want to pay for a
short subscription to Questia and do a more thorough search for other
phrases and quotes from your notes.

Note that there are thousands of returns for books that contain the
key words "GREEK PHILOSOPHY" as opposed to just those that fall under
the subject heading GREEK PHILOSOPHY.

The difficulty is that some of the quotes are going to be common to
many books because they are commonly known quotes, such as the one
from Thales. The rest of the notes are general and will apply to many
texts on Greek Philosophy, so it will be hard to narrow down just
which specific text they came from.

Best of luck to you, and again, sorry I couldn't help.

--K~