Are teaching hospitals in Illinois (for medical residents) required to
have a library on site?  If so where is that information located.

This may be helpful:

"ER-7. A hospital or other clinical facility that serves as a major
site for medical student education must have appropriate instructional
facilities and information resources.

Appropriate instructional facilities include areas for individual
student study, for conferences, and for large group presentations
(lectures). Sufficient information resources, including library
holdings and access to other library systems, must either be present
in the facility or readily available in the immediate vicinity. A
sufficient number of computers are needed that allow access to the
Internet and to other educational software. Call rooms and lockers, or
other secure space to store personal belongings, should be available
for student use."

http://www.lcme.org/functionslist.htm#clinical%20teaching%20facilities