Luke Can See Her Face - S4-E20
Visible crew/equipment: After Luke invites Lorelai to the wedding, when she opens the car door the reflection of the camera operator (short hair) is visible in the wing mirror. (00:42:20)
Luke Can See Her Face - S4-E20
Visible crew/equipment: When Paris and Rory are at the hospital talking about Asher, Rory suggests getting something to drink so they both walk away from Asher's room, and just as Paris says, "Vanilla, it's a very old flavor," their yellow tape mark is visible on floor at the bottom right corner of the screen, which is where they were standing. (00:27:35)
Luke Can See Her Face - S4-E20
Visible crew/equipment: While Luke is looking around the inn's kitchen, Sookie introduces Lorelai to Shel Sausman, and we can see the white T-mark taped to the floor, at the bottom right corner of the screen. (00:07:00)
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.