Reconing a pair of S-20005 speakers?

Hi all! I recently got a pair of 10” S-20005 speakers that were taken out of a Gibson GSS-50 for free.

Here’s a link to the type of combo amp they came from: https://reverb.com/item/3340005-gibson-gss50-c-1966-black

Not particularly sought after, I know, but seeing as they were free I fancied trying to recone them and building my own little cab with them as a fun little project. The owner was just going to trash them and I hate to see vintage gear go to waste so I’d love to see them brought back to life again.

This is my first rodeo, so I have no idea to start, any pointers would be much appreciated!

I’ve been looking at 10” reconing kits, but my first question with this is: can I/should I just buy any 10” kit? Or should I be trying to repurpose an older 10” speaker? Would that even work? What is the general consensus on doing this kind of thing?

Obviously with them having some age, I want to stay as true to their origins and materials as possible, where possible - although I don’t really have the cash to go for something like a full, ”authentic” restoration.

And I know maybe it doesn’t matter so much as these aren’t so valued, but I’d like to learn and as much as possible treat this as if they were so that I can take the skills and approach I gain from doing this into future projects where the providence of the item is maybe a bit more important.

So…yeah. Any advice/suggestions on where to go for info/parts would be most welcome! Thanks! 🙏🏻