The VIN numbers match. No engine number.
Your photo shows what is called both "engine number" and "VIN number":-
. It is called "engine number" because the Triumph works stamped everything in your photo on the engine when it was completed.
. Separately, when an engine was installed in a frame, the whole "engine number" was copied on to the frame.
. Most jurisdictions use whatever is stamped on the frame to identify a complete motorcycle.
. The collection of letters and numbers in your photo is sometimes referred to as "VIN" because it is an easy shorthand, as it appears on both engine and frame. However, it is not a true VIN because it does not conform to the international 17-character format.
. The actual number in your photo is the only thing that is unique to that engine (and the frame it went into), "CC" is the date code for March 1969, would have been stamped on all engines made in that month, "TR6R" would have been stamped on all TR6R engines made at any time.
While the month is always the calendar month, the year is never the calendar year, always the "model year"; sometimes they are same, but sometimes they are not.
the carb is stamped 930 and I see that is a carb model number.
"9" indicates a 900 series Concentric model body, "30" is usually (but not always) the nominal diameter in millimetres through the carb from inlet to engine side. The number to the right of the "/" indicates the internals (jets, needle, slide, etc. combination) fitted originally, usually indicates the motorcycle the carb was intended for, but not always.
Concentric bodies normally stepped in 2 mm. increments. However, if an intermediate diameter was required, that was indicated by a stamp to the left of the cast body/diameter.