Haunted Leg - S3-E2
Visible crew/equipment: After Emily tells the new maid it would wonderful to remember the difference between the bells, as Emily, Lorelai, and Rory walk away from the front door, the white, red, yellow, and green tape marks are visible on the floor behind them. (00:32:00)
Haunted Leg - S3-E2
Visible crew/equipment: When the new maid tells Emily the dinner is ready even though it's only 6:30, Emily concedes and they all head to the dining room, and just as Emily says they all can be in bed by 9:00, we can see the boom pole and mic in the living room behind them, at the top of the screen. (00:33:20)
Haunted Leg - S3-E2
Visible crew/equipment: After Lorelai and Rory meet Emily's new maid, when they walk into the living room the T-mark is visible on the floor where Emily stands. (00:32:05)
Haunted Leg - S3-E2
Visible crew/equipment: Rory gets dragged in the bathroom to discuss hem lines and the entire time the mic guy can be seen in the shadow on the wall behind her.
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.