Baugher's presidency of Gettysburg College was noted by his stern disciplinary practices and high standards. According to Edward S. Breidenbaugh, Baugher believed "that reverence for superiors, submission to authority, and obedience to the rules and regulations of the College were indispensable to the formation of a good character, he inculcated and enforced the duty of loyalty both by counsel and authority . . . he was proficient in detecting those guilty of misdemeanors and violations of the college laws." According to Samuel Gring Hefelbower, who was president of Gettysburg College from 1904-1910, Baugher's severity was "tempered with Christian love."