What was the name of the garden that Jesus prayed in and the disciples fell asleep?

The Garden of Gethsemane was a place located on the Mount of Olives that Jesus often resorted to for prayer and communion with His Father. Just before Judas' betrayal and nearing the time of His crucifixion, Jesus travelled to Gethsemane with His disciples so that He could pray. While Jesus was praying, His disciples fell asleep. The entire account can be found in Matthew 26:36-45, Mark 14:32-41, and Luke 22:39-46. Matthew 26:36 "Then cometh Jesus with them unto a place called Gethsemane, and saith unto the disciples, Sit ye here, while I go and pray yonder." Matthew 26:40 "And he cometh unto the disciples, and findeth them asleep, and saith unto Peter, What, could ye not watch with me one hour?"