A House Is Not a Home - S5-E22
Visible crew/equipment: When Mrs. Kim calls Gill over to look at his van, he tells her it's not big enough for a tour van, and two tape marks are visible on the ground - one where Lane stands and one where Mrs. Kim stands. (00:37:05)
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.