Definitions of brim:

• noun:   a circular projection that sticks outward from the crown of a hat
• noun:   the top edge of a vessel
• verb:   be completely full

  Example: "His eyes brimmed with tears"

• verb:   fill as much as possible

  Example: "Brim a cup to good fellowship"

• name:  A surname (rare: 1 in 33333 families; popularity rank in the U.S.: #4611)