Nope. Sorry. I have a WWII era military B.S.A. WDM20, and documentation for that toolkit, but I don't know anything about other military bikes or their toolkits. My hunch is the kits were fairly standardized in types of tools, if not size, by the M.O.D. and R.E.M.E., so you may be able to back your way into the kit by looking at mine, linked
here. If I were you, I would start poking around the web. There are several good Brit Bike forums, and the BSA WDM20 has an excellent website. I'd bet there is something like it for the Triumph guys. In fact, some of the best guys on the BSA WDM20 forum have multiple bikes, including Triumphs, and they could probably steer you in the right direction.
I did find this TRIUMPH wrench a few months ago. But I don't even know if it's for the bike or the sports car. If you end up finding some good documentation or info source and discover that it's appropriate for your bike, I'd be glad to send it to you.