No, Jefferson Medical College is not part of "Jefferson University." There is no more a "Jefferson University" in Philadelphia than there is a "Hopkins University" in Baltimore.
Jefferson Medical College is part of a "Thomas Jefferson University", which is comprised of Thomas Jefferson University Hospital, Jefferson Medical College, Jefferson College of Graduate Studies, and Jefferson College of Health Professions. No one ... and I repeat no one ... ever uses uses the the name "Jefferson University" or even "Thomas Jefferson University" in referring to application to or matriculation at any one of these schools. I work at Jefferson so excuse me if I presume to know a little more about the subject than you do.
Look, I was just trying to be helpful and prevent you from making what would be an embarrassing mistake in communicating with the school. But, I can see from the tenor of your response that you appear to be the typical anal pre-med who reacts negatively to even the mildest of constructive criticism. *Sigh*
Please ... feel free to refer to Jefferson Medical College as "Jefferson University" in each and every communication you have with this school during the application cycle. Good luck!