AFAIK at one time there were 3 copies.
. "Copy" has several possible meanings so it is worthwhile to clarify this word because of ongoing confusion:
-- the original "copy" of the despatch records created at BSA
-- a contemporary duplicate "copy" created at BSA (such a "copy" may or may not have ever existed, and I've seen no evidence that it did)
-- a "photocopy" or "microfiche" of the original records
-- a transcribed "copy" made by someone outside the factory years later
Absence visual evidence to the contrary, I'll continue working under the assumption that there is only one original "copy" of the factory records. This copy was held by the Science Museum until sometime in the past twenty or so years when, because of downsizing, it was transferred to either the BSAOC or the VMCC. At the same time production records from other factories that also were held by the Science Museum were transferred to the appropriate clubs.
If sufficiently motivated, which I definitely am not, I could determine when that transfer was made, and to which club. The Gold Star Owners Club also has a "copy" of the GS portion of the BSA records but, absence visual evidence to the contrary, I'll continue to assume the "copy" they hold is either a "photocopy" or a "microfiche" of the relevant portion of the complete "copy" of the despatch records.
If someone is aware of two "copies" of despatch records having different information on them for a given bike, by all means post images of those two copies. Unless/until I see such side-by-side evidence, I'll continue to assume the factory only produced one set of despatch records. Note that the seemingly-conflicting information on Motolab's Gold Star isn't because there are two different "copies," but rather because the BSAOC gave him a page from the M21 despatch records by mistake.