The squeek is more likely coming from the upper trunion bushing area, a rubber bushing with a bolt running through it. They tend to squeek when the rubber gets dry and brittle and not lubricated. Shocks are generally pretty long life items, and if they are dry and squeeking you might well need to replace them anyway as they can wear the seal and bore rapidly if not lubricated. Refilling is pretty easy and doesn't require removing the end plate, just remove the hex nut on the side of the round chamber and filling with shock oil or 20w hydraulic fluid until it just runs out the hole. If you have to add more than a couple of ounces then expect leakage once it's full and get ready for a shock replacment. Replacing the shocks isn't that difficult though and you can get two good rebuilt units for a bit less than $300 from Moss or World Wide Auto Parts. These are rebuilt by Peter Caldwell and are actually better than new after he gets through with them. I'd start with replacing the upper trunion bushings and inspect the lower A frame inner bushings carefully before replacing shocks though. Try squirting a bit of silicone lubricant on the bushings and see if the squeek goes away.
'73 Midget (V6)
'59 MGA (I6) under construction
'73 Lotus Europa
'52 MG TD kit car body project.
'98 Jag XK8
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