Luis,
The attachment identifies some of the craters visible in your image.
The labeling was done using the freeware application "LTVT":
which can generate and superimpose the pattern of crater positions
expected for the date and time you specified.
The crater you labeled as "Faustini?" turns out to be Demonax.
Faustini itself is in the dark part of the limb well beyond the last
bright dot you show in the upper right (its center would be just on
the margin of the attachment). The terminator has to move more to the
right (in your image) for Faustini to receive sunlight, so it won't be
recognizable for another day or to into the lunar cycle.
--
Tonight (2009 Feb 01 at 03:30 UT) I can see what I think are the
craters Simpelius A and Schomberger (and a smaller unnamed crater
between then), along the terminator, pointing towards Amundsen (which
is hard to recognize as a crater). Faustini must be towards the cusp
from Amundsen, but its hard to see anything more than a streak at the
limb in my 4-inch Maksutov. The lighting is somewhere between that in
Christopher Kitting's image from 2009 Jan 02 at 01:28 UT and Clif
Ashcraft's at 22:50 UT. See the Files section, or the Index to Images
page:
http://groups.google.com/group/lcross_observation/web/index-to-images
or
http://groups.google.com/group/lcross_observation/web/january-2009-training-exercise
-- Jim