After applying the patch, copy the following files from your
Tomb Raider Chronicles CD to the folder you installed the 
game to -

ie - C:\Program Files\Core Design\Tomb Raider Chronicles

The game will now run without the CD.

Copy - 

\Audio (whole folder)
\Data        "
\movie       "
\screens     "

binkw32.dll
cfgmgr32.dll
english.dat  (change this if you installed a different language)
lang.dat
layout.bin
os.dat
script.dat
single.dat
us.dat