Captain Morris Tolliver, MD was a physician and Navy officer, who served as a temporary replacement at the position of Physician to the President of the United States. Despite his relatively low rank for the position (as it is more common to be a flag officer holding the position), Jed Bartlet liked him and Leo McGarry asked him to stay on full time. Before he could assume the position, however, a plane he was on during a diplomatic mission was shot down over the Middle East, killing all those on board including Morris.
Tolliver was married to Angela and their daughter's name was Cory. The child was named for her great-grandmother, who had been named after her great aunt, who got it from the first free woman she ever met.