How to splice a deadeye into a wire shroud

[Brion Toss]

Hello,
Splicing and/or seizing to a deadeye properly is well-documented; I can recommend the pertinent chapter in the Apprentice, or Ashley's. Actual skill is involved, so I trust you will be practicing assiduously before making up your new shrouds. But even before that, I hope you will assess rig configuration, wire size, chainplate location, and basically everything else about the rig.
In part I'm suggesting this because I always do; rerigging is the time to correct any built-in oddities and inefficiencies. But it seems extra-important in your case, because whoever rigged this last did the following:
terminated with Talurits, which require no skill, and are vulnerable to lateral failure, and are basically ugly;
left off the lower deadeyes, because, I surmise, putting them in would have also required skill;
added a third set of shrouds, for reasons that may or may not have had anything to do with rig needs;
and put no deadeyes at all on the new set (see skill, above).
A boat that has survived a hundred years deserves a rig that does more than doing the job "okay."
Fair leads,
Brion Toss