And, behold, a woman in the city, which was a sinner, when she knew that [Jesus] sat at meat in the Pharisee's house, brought an alabaster box of ointment,
Note 1 at Lu 7:37: Some people have thought that since Mary Magdalene is mentioned in Lu 8:2-3 as ministering to Jesus of her substance, perhaps she was this sinful woman spoken of here. This can neither be confirmed nor denied. This was a different instance than when Mary, the sister of Lazarus, anointed Jesus' head and feet and wiped them with her hair (Mt 26:6-13, Mr 14:3-9, and Joh 12:2-8).
Note 2 at Lu 7:37: The city spoken of here cannot be known for certain. The last city mentioned in this chapter was the city of Nain where Jesus raised the widow's son from the dead (Lu 7:11). However, Lu 7:18 says that John's disciples went and showed him of all these things. Depending on where John was imprisoned, whether, as Josephus recorded (The Antiquities of the Jews, Book 18, Chapter 5, Section 2), in Macherus--a fortress located in the mountains east of the Dead Sea--or in Sepphoris, as Mr 6:21 would suggest, a time of one to ten days had gone by before John's disciples returned with John's question (Lu 7:19). (The city of Sepphoris, although not mentioned in Scripture, is mentioned historically as Herod's headquarters and "metropolis" in the province of Galilee. It was ten miles northwest of Nain and five miles due north of Nazareth.) In that amount of time, Jesus could have traveled to any of the cities of Galilee.