Plenty of spare time here in the frozen Midwest, so I thought I'd address my unlit marker lights. One was broken in half, both lens and body, two were heat cracked and corroded, only one was burning, seeming newer with fewer hours of operation, so no H20 intrusion, no corrosion.

It's too cold to go picking at junkyards, so I attacked the problem with sockets commonly available, #85814 and 85816, $4.09 each at Advance off the rack. They are 4 lug twist-in, rather than the 3 lug Jaguar/Volkswagen part, so I pared off 2 lugs with an Exacto knife, making it 2 lugs at 180 degrees, and carved out the marker light socket receiver to match.

85816 is a little smaller in circumference, and 85814 is a little too large, necessitating a trim, but since neither has an o-ring, I'll seal them in with silicone.

The heat problem could easily be dealt with by using LED replacements, but since I have a fleet-pak of 194 bulbs, and plenty of time, I drilled out the heat damaged spot and epoxied in a copper heat-sink so any bulb will be fine.
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Good job! Had the same issues but went the expensive route and replaced the whole assemblies. They are available from online Jaguar dealers; I also found them on ebay.

 

That corrosion seems to be a common problem. I replaced mine, as well.
That is on my '04 XJ-R. However, someone else now has the car.