Definitions of verge:

• noun:   a grass border along a road
• noun:   the limit beyond which something happens or changes

  Example: "On the verge of tears"

• noun:   a ceremonial or emblematic staff
• noun:   a region marking a boundary
• verb:   border on; come close to

  Example: "His behavior verges on the criminal"

• name:  A surname (very rare: popularity rank in the U.S.: #24115)