Bethany is a village on the Mount of Olives, less than 2 miles east of Jerusalem. It was the home of sisters Mary and Martha, and Lazarus, who was raised from the dead by Jesus.
It was also in Bethany that a woman poured a bottle of expensive perfume over Jesus' head while he was dining in the home of Simon the leper.
Jesus lodged in Bethany during his final days in Jerusalem, and the Palm Sunday procession started out from there. After Jesus had risen, he appeared to his followers (Luke 24:36), he then led them on the road to Bethany.
And somewhere on that road, he blessed his followers, and then rose up into Heaven (Luke 24:50-53). Today the village is named Al-Azariyya which is Arabic for Lazarus.
There is a church there called The Church of St. Lazarus, and a chapel called The Chapel of the Ascension.