Question Regarding 1804 Bank Of England Dollar

I have a 1804 Bank of England Dollar, but I cannot see sufficient evidence to confirm overstrike of either CAROLVS 1V or FERDIN V11.
I also have an 1808 8 Reales (Lima) of Ferdinand V11.

Provinences: 1804 Dollar from coin dealer who also does international public auctions, and
1808 8 Reales from a hoard in Lima, Peru from a missionary friend.

I looked on Google Images and failed to find an overstrike on an 1808 8 reales.

Coincraft's 1998 Catalogue of English and UK Coins does not mention an overstrike on 1808 8 Reales coins, and the technical write up on the Bank of England Dollars is highly detailed.

Ferdinand V11 first reign was short: 11 March 1808 to May 1808.

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I note that Google Images has pictures of
New South Wales Holey Dollars that have been overstruck on 1808 Ferdinand V11 Spanish milled dollars.

The silver token era of Great Britain is the reason why I happen to have an 1804 BofE Dollar.
It is part of a small collection of about a dozen silver tokens (both bank and private issues), that I have managed to put together, over a period of decades.

The reason for the acquisition of the Spanish Dollar is that I greatly value it because it was given to me,
and Spanish Dollars were mentioned in the NSW Proclamation for acceptable circulation of foreign coins in the early colonial history of NSW.

The Holey Dollar (dated 1813),
was stamped out of a Spanish milled Dollar; two coins resulted:
a large silver coin, with the same diameter as a Spanish milled Dollar, tariffed at 5 Shillings,
and
a 'dump' coin, tariffed at one shilling and threepence.

The point I am making here is that a small percentage of Holey Dollars were made in 1813 did, in fact, have host coins that were 1808 Spanish Milled Dollars of Ferdinand V11.