Not so sure where all the parts came from
maybe you can defiantly identify the head.
The head is from a Triumph twin (750 if it has two smaller fasteners between the combustion chambers, 650 if it has only one smaller fastener) made before the beginning of January 1978
The "Mk.1" Concentrics correspond to the splayed intakes.
750 twins were made from the 73 model year, 650's were made into to the 74 model year; Triumph twins imported into the US had splayed intake ports until the end of the 1977 calendar year.
The "six bolt" tappet inspection covers on the rocker boxes are 74 onwards. However, rocker adjuster threads did not become 5/16"-24 UNF thread until 79; earlier are 5/16"-26 British Standard Cycle, a 1/2" AF wrench will not fit the earlier adjuster locknuts.
Be aware of the possibility the original 79 engine's rockers, boxes, etc. have been fitted to an earlier head.
The finned inlet manifolds are aftermarket. I believe the finned exhaust pipe clamps are also aftermarket as ime the similar originally pre-72 Triumph push over pipe clamps had smaller fins.
The white wire from the Boyer is attached to the neg terminal of the battery.
if I understand you correctly, should I move it to the frame?
You have not understood me correctly ...
The supply to the ignition circuit is the Transistor Box White wire connected to the battery -ve terminal as shown in your
View attachment 55026,
... (the

is deliberate).
if you re-read my previous posts, I have posted the Transistor Box White wire should be connected to the battery -ve terminal
According to wiring diagrams I’ve seen
should I move it to the frame?
While all e.i. makers' wiring diagrams show "earth" or "ground" to the frame, it is dumb - the ignition circuit is from
battery -ve to
battery +ve so making two extra electrical connections (battery to/from the frame and Transistor Box to/from the frame) is just two extra places for the e.i. to fail.
While I agree and have also posted this advice, imho
at this time you do not need any "Top Dead Centre Timing Tool", you just need a strobe (also likely a separate battery to power it, do not connect the strobe to the battery of the vehicle being tested) because the only things you want to check
at this time are:-
. engine spinning at about 4,000 rpm, the strobe shows the fixed line on primary chaincase and the moving line on alternator rotor line up;
. engine rpm reduced from 4,000 rpm, the strobe shows the lines moving apart - means the e.i. is retarding the spark at lower rpm;
. engine rpm increased above about 4,000 rpm, the strobe shows the lines stay aligned, do not move apart again - means the e.i. full advance setting is correct.
To be clear, the only reason to have a "Top Dead Centre Timing Tool" when setting up an e.i. is to check the line on the alternator rotor lines up with the line on the primary chaincase, for final strobe timing after setup - the alternator rotor is mounted on the crankshaft, the flywheel (bolted to the crankshaft) has a 'dent' in it at 38" degrees BTDC, the pointed end of the "Top Dead Centre Timing Tool" drops into that dent, you can then check visually if the line on the alternator rotor lines up with the line on the primary chaincase (and make allowances when strobe timing if they do not). However,
at this time, because you know already the engine starts and runs, even if
possibly the lines do not line up on your engine, it cannot be by much; imho, do the tests with the strobe
then decide if you need the "TDC Tool"?