Circulating British Silver In The American Colonies

Very doubtful, because exportation of British silver to the colonies was prohibited.

https://coins.nd.edu/ColCurrency/Cu...roValue.html

And what little British silver did make it to the colonies typically came right back to Britain in payment for imported goods.

Old silver spoons interest me almost as much as coins. It is interesting to compare the heavyweight English 18th century spoons to the lightweight American versions. The American designs are also behind the English by about 50 years. They do not have royal hallmarks to certify them as sterling, as they were made by remelting coins and old silverware of dubious purity. This practice continued into the mid 19th century, with non-sterling silverware stamped COIN.

As noted in the link I posted, American colonial silver coins are also quite lightweight compared to English. Massachusetts shillings weigh 22% less than English. If I remember correctly, the objective was to keep the colonial coinage within the colonies.

Much the same experience in Australia,
time scale a little later.

All coins were in short supply, because ships' captains demanded payment in silver for goods landed in the Australian Colonies.
As a result,
Australian colonial coinage was a hodge podge with silver coins from all over the World in short supply, but with a higher proportion of Spanish and Empire coins. The famous 'Holey Dollar' of 1813 (first coin made in Australia), was struck from a shipment of Spanish Dollars.

The situation radically and permanently changed after 1825, when a large shipment of freshly minted silver coin from The Royal Mint was landed in Sydney.
After that, British homeland coinage became fully established as the circulating currency.

Australia's first gold coinage was the Adelaide Pound struck in 1852. For legal reasons, the experiment was a failure. Almost all were recalled and melted.
Thus, surviving coins are rare, and very valuable.
After the discovery of gold, a branch of The Royal Mint was established in Sydney in 1855. The building still stands.