The word "crape," an anglicized version of "crepe," refers to a silk or wool piece of cloth that has a thick consistency. It is also the name given to a mourning piece worn on the arms of funeral attendees.
"Did he seek to hide it from the dread Being whom he was addressing?..."See in text(The Minister's Black Veil)
The capitalization of “Being” indicates that Hawthorne is alluding to God. The question posed here asks if Reverend Hooper wishes to hide his face from God. This could imply that Hooper has committed a sin and is ashamed to show his face to God.
A "sexton" is someone who maintains and looks out for a church graveyard, keeps the graveyard clean and, more commonly in past centuries, digs graves for the deceased.
