Once you find the entrance hole, use a razor blade and slit the vine lengthwise until you find and kill the buggar. The vine will survive if the damage isn't too severe.
The Four Horsemen of the Apocalypse are described in the last book of the New Testament of the Bible, called the Book of Revelation of Jesus Christ to Saint John the Evangelist at 6:1-8. The chapter tells of a "'book', or 'scroll', in God's right hand that is sealed with seven seals". The Lamb of God, or Lion of Judah (Jesus Christ), opens the first four of the seven seals, which summons forth four beings that ride out on white, red, black, and pale horses. Although some interpretations differ, in most accounts, the four riders are seen as symbolizing Conquest, War, Famine, and Death.
Pick a name from the four horsemen. Id nominate squash bugs, cutworms, and Japanese beetles as the other three.