Illustration from Polk, The Practice of Printing, 1926 (rev. 1952)

The diagram illustrated above shows the major components of a Chandler & Price Platen Press.  It illustrates a "New Series" press -- but the design and operation is very similar to that of the "Old Series" press that I own.

Greater detail can be seen at the following site:

C&P Oil and Instruction Chart
Stephen Nelson of Classical Graphics has posted scans of charts that identify the "about 37 oil holes" on a C&P New Series Press.

C&P Printing Press Information
This site is pulling together information on C&P presses -- including history, maintenance information, and a parts diagram.