Jamieson, Fausset and Brown on Luke 7:37-38

Lu 7:36-50. Christ's Feet Washed with Tears.

37-38. a sinner--one who had led a profligate life. Note.--There is no ground whatever for the popular notion that this woman was Mary Magdalene, nor do we know what her name was. (See on Lu 8:2.)

an alabaster box of ointment--a perfume vessel, in some cases very costly (Joh 12:5). "The ointment has here a peculiar interest, as the offering by a penitent of what had been an accessory in her unhallowed work of sin" [Alford].