James
Since buying my Elan, about 7 years ago, my driver's door has suffered the exact same problem as yours. It was only two or three months ago that I had occasion to go into the doors for some other reasons and at the same time managed to sort of "cure" the problem. I say sort of, because the rattling when the window is down is far less than it was but hasn't entirely gone, so I think there are other things I need to revisit, probably next year. Just like I've been doing for the past few years, I expect you have been winding the window down only so far as it just pokes out of the door to hold the glass in place.
What I found was this. If you look at the photo below you will see a number of round holes near the top of the door. Three of these holes, which are about a third of the way along the door, form a sort of grouping of three. If you look directly under and very slightly to the left of the middle hole you can see a fuzzy goldish blob with what looks like a feint stain running down from it. That is an almost horizontal upside down bolt head and is used to adjust in and out a pad that pushes against the window glass holding it in position. On my car and I almost missed it as it is somewhat hidden, this bolt had loosened off and allowed the pad to be pushed back by the window glass and therefore was not holding the glass steady when down. It was a ten second job to push the pad back against the glass and then tighten the bolt.
On your car, you can actually see this pad without dismantling the door. Wind your window right down as far as it will go. Then shine a torch down into the door through the window seals and around that position along the door and inboard of the glass you can see the pad.
Hope this helps.
DoorPanelRemoval13.jpg
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