Matthew Poole and continuators on Luke 22:39

39 And he came out, and went, as he was wont, to the mount of Olives; and his disciples also followed him.

Both Matthew and Mark say, he went to a place called Gethsemane, but that makes no difference, for whether Gethsemane signifyeth a Village, or a Garden, or a Valley, all agree it was at the Foot of the Mount of Olives. It was a place to which our Saviour had used to go ever since he came to Ierusalem, and lay in his way to Bethany. He went thither to pray, and his Disciples followed him,

Marginal references: Mat. 26.36. Mark 14.32.