Rory's Birthday Parties - S1-E6
Visible crew/equipment: When Lorelai walks into the kitchen and tells Sookie that Emily and Richard have shown up, during their conversation the lighting equipment is visible at the right side of the screen, in four shots facing Lorelai. (00:34:55)
Rory's Birthday Parties - S1-E6
Visible crew/equipment: When Richard is sitting on the porch and Rory brings him a Cosmo magazine with a quiz, the shadow of the boom mic dips down over Richard's head, at the top of the screen. (00:37:05)
Rory's Birthday Parties - S1-E6
Visible crew/equipment: When Emily and Richard are in the car, Emily tells him that Lorelai's right about not knowing her at all, and when it cuts to Sookie and Lorelai in the kitchen, lighting equipment is visible at the right side of the screen. (00:42:10)
Rory's Birthday Parties - S1-E6
Visible crew/equipment: When Rory is cutting her cake the doorbell rings, and in the shot of Emily and Richard the lighting equipment is visible at the left side of the screen (it's not there in previous and following shots). (00:33:35)
Rory's Birthday Parties - S1-E6
Visible crew/equipment: When Rory shows up at Luke's to meet Lorelai, just as Lorelai says, "Nice face you got on there," we can see lighting equipment at the top left side of the screen. Then, when Luke brings them coffee it's visible in the shots from the same angle. (00:11:30)
Rory's Birthday Parties - S1-E6
Visible crew/equipment: After Rory takes Tristan's invitation and walks away, when it cuts to Emily and Lorelai shopping at Damion's, just as Emily notices the hat we can see the crew member and equipment at the right side of the screen. Then, when Emily finds the light-up bracelets and shows Lorelai, some lighting equipment is visible at the left side of the screen and cables are on the floor behind them. (00:08:30)
Rory's Birthday Parties - S1-E6
Visible crew/equipment: At Chilton, when Rory walks past the girls talking about another obligation party, in the next shot facing Rory we can see lighting equipment at the right side of the screen. (00:08:20)
Rory's Birthday Parties - S1-E6
Visible crew/equipment: While Emily is instructing the servants before the party, when she tells one servant, "I want those six inches apart, get a ruler," there are two problems with this medium shot. First, lighting equipment is visible at the top right side of the screen over the lamp, and second, it's a flipped shot. Note the painting and lamp are reversed in the medium shot, compared to the next wideshot which is fine. (00:17:45)
Rory's Birthday Parties - S1-E6
Visible crew/equipment: When Emily raves about Sookie's hors d'oeuvres, the shadow of the boom mic is bobbing around at the top of the screen. (00:35:10)
Rory's Birthday Parties - S1-E6
Visible crew/equipment: When Lorelai gets home while Rory is on the phone, just as Lorelai jokes about Justin and Britney, filming equipment is visible at the left side of the screen. (00:06:35)
Rory's Birthday Parties - S1-E6
Visible crew/equipment: As Lorelei climbs into bed with Rory at 4:03 there is what appears to an open book being lowered out of the shot by a presumed crew member.
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.