Welcome to the fold David.
Advice from an "Old Timer": Don't trust the service history or any garage assurances on your Morgan - even if it's a very low mileage model.
Change ALL fluids including back axle and brake fluids.
Get a Wanner grease gun (obtainable second hand on Ebay) and if it has a rigid nozle replace that with a flexi hose attachment - it helps enormously within a restricted space.
On longer trips abroad I take the grease gun, paper wipes, ground sheet, Jack, basic tool kit, spare relays, and tarp to cover against overnight rain. If your original fit radiator begins to leak don't delay replacing it with an all aluminium one.
Also get the toe=in checked - I find that this is best set at 1.5mm measured at the wheel rims. Tyre pressure I prefer is 22psi front 25psi rear.
I also recommend magnetic drain plugs for the gearbox and sump.