Re: Replicating a mystery pup
There are a lot of variables to consider, but it's entirely possible that you can come close enough to feel satisfied.
For a proper replica, you'll need to know pretty much everything about the pickup...the gauge of the wire, the insulation type, the number of turns on each coil, the dimensions of the bobbins, the type of magnet used, spacer type/materials, pole piece material/type/lengths, baseplate material, etc.
To get in the ballpark with an off-the-shelf pickup, you'll still need to know a few things, such as the DC resistance, the wire gauge (and insulation type, if you can tell), and magnet used. Still, there's a lot of variation among pickups with otherwise "similar" specs, so it may take a couple tries to find what you're after, but at least that information will give you a baseline to operate from.
Can you post pictures of the pickups? Someone may be able to help identify them