Visible crew/equipment: When Rory gets the photo album from her mother's bedroom and shows her Grandparents, just as Emily reminds Richard about getting the baby dress in London, a piece of filming equipment is visible at the right side of the screen. (00:27:25)
Visible crew/equipment: Right before Max and Lorelai go up the stairs, a crew member's arm is seen on the right side as they step out of the shot. (00:34:00)
Visible crew/equipment: While Lorelai and Max are kissing on the staircase, when Lane walks up and surprises them, the two tape marks are visible on the lower step. (00:34:15)
Visible crew/equipment: When Rory is dropped off in the morning, he walks up the front porch, Lorelai greets her at the door. Behind Rory across the driveway in the bushes is a man. The many slowly hides back into the bushes. (00:39:19)
Visible crew/equipment: Near the end of the episode when Rory comes home and is standing on the porch talking to Lorelai at the door, right before Rory says "Hi" you can see a crew member in the background, standing in the bushes on the other side of Lorelai's jeep and then moving out of sight (toward the left side of the screen). (00:39:20)
Forgiveness and Stuff - S1-E10
Visible crew/equipment: When Lorelai and Dean are talking through Rory's open window, Lorelai tells Dean that they have a nice front door he might want to use, and when Dean walks away the moving boom pole is visible through the top of the glass window, in front of the lattice. (00:13:35)
Forgiveness and Stuff - S1-E10
Visible crew/equipment: After Richard is brought to his hospital room, when Luke tells Lorelai that she's avoiding seeing her father, the boom mic dips into view at the top pf the screen when she says, "You know what hurts? A screwdriver in your head." (00:30:25)
Visible crew/equipment: After Rory tells Lorelai that she looks happy, when it cuts to Max telling his class about Emily Dickinson's poem, we can see the boom mic bobbing around at the top of the screen. (00:07:55)
Visible crew/equipment: A mic drops into shot just as Jackson accepts Sookie asking him on a date. (00:38:45)
Visible crew/equipment: While Lorelai is cleaning out the fridge, when she picks up the book and asks Rory to give the book back to Max, lighting equipment is visible at the right side of the screen.
Double Date - S1-E12
Visible crew/equipment: Where Lorelai walks into the inn's kitchen she pours herself a cup of coffee, and as she walks toward Sookie we can see the red T-mark taped to the floor where she had been standing. (00:06:45)
Double Date - S1-E12
Visible crew/equipment: While Lane is trying to chat with Todd during the Double Date, when she asks if he likes Fugazi he tells her it's his sister's T-shirt, and just as Lane answers, "Oh," the boom mic dips a bit into view over Lane, at the top of the screen. (00:23:10)
Visible crew/equipment: While Rory has the girls over to work on the debate, when Lorelai and Rory walk into the living room with the Pop-Tarts, just as Lorelai tells them about going to the Bangles concert we can see filming equipment at the left side of the screen. (00:23:45)
Visible crew/equipment: At the Bangles concert, when Rory says they have amazing seats, just as Louise replies, "Yes, they are," the boom mic dips into view over Louise's head, at the top of the screen. (00:25:50)
Visible crew/equipment: When Taylor is complaining to Luke, Rory and Lorelai about faded paint, a bright green mic dips above Luke's head. (00:04:35)
Visible crew/equipment: When Lorelai takes the ice bucket into the kitchen trying to evade Emily's questions about Luke, just as Emily tells her that Luke is always around when Lorelai's in trouble, on the glass cabinet there's a visible reflection of the boom operator moving around, while holding the boom. (00:39:10)
Visible crew/equipment: When Lorelai argues with Richard in his study, nothing gets resolved and Richard says that he's tired, then in the last shot of Lorelai we can see a crew member's fingers holding equipment, at the right side of the screen. (00:25:55)
Visible crew/equipment: When Luke is waiting for Lorelai to show up and paint, a crew member, camera, and boom mic are reflected in the window next to him. (00:29:45)
Star-Crossed Lovers and Other Strangers - S1-E16
Visible crew/equipment: When Rory asks Lorelai to call Emily to get her out of Friday night dinner so she can celebrate her and Dean's 3-month anniversary, a boom mic drops into the shot as Lorelai stands to get the phone. (00:07:05)
Star-Crossed Lovers and Other Strangers - S1-E16
Visible crew/equipment: While Patty and Taylor argue about the fire and Stars Hollow, there's a mic dip over Lorelai's head right before Luke says "she's bi-polar. And again when Patty says "she is?" (00:13:25)
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.