Student access to library resources is contingent upon the “owner” of the course the student is enrolled in. If it is a USC Columbia course, select University of South Carolina as the institution.
Students can receive multiple entitlements. For example, a USC Lancaster student taking classes at USC Lancaster and USC Columbia will be assigned the entitlement for both Lancaster and Columbia. The student would be prompted to authenticate as Lancaster or Columbia when prompted for authentication.

The image shows many more campus/institutional options.