The daughters of a male proselyte who has married the daughter of a female proselyte are eligible to marry priests.
Yevamoth, fol. 57, col. 1.
If thou seest an impudent priest, think not evil of him; for it is said (Hosea iv. 4), "Thy people are as they that strive with the priest" (see chap. ii. p. 25, Note c.).
Kiddushin, fol. 70, col. 2.
So long as there is a diadem on the head of the priest, there is a crown on the head of every man. Remove the diadem from the head of the high priest and you take away the crown from the head of all the people. (This is a Talmudic comment on Ezek. xxi. 31; A. Ver., 26.)
Gittin, fol. 7, col. 1.
A king shaved his head every day, a high priest did the same once a week, and an ordinary priest once a month.
Sanhedrin, fol. 22, col. 2.
When a priest performs the service of the Temple in a state of defilement, his brother priests are not required to lead him before the tribunal, but the juniors of the priestly order are to drag him out into the hall and brain him with clubs.