Britain is the larger entity Star which consists of England, Scotland and Wales so any King or Queen of Britain would be a monarch of any of those three as well.
But the reverse does not apply. At the time of the Queens I mentioned they were Queens of England but not Scotland who had their own monarchy.
As Watch mentioned Britain didn't even exist so the Queens of England couldn't be British Queens.
"The Kingdom of Great Britain was the state resulting from the political union of the kingdoms of England and Scotland on 1 May, 1707 under Queen Anne.
It existed until 1801 when Great Britain and Ireland united. The resulting United Kingdom of Great Britain and Ireland became the modern United Kingdom of Great Britain and Northern Ireland in 1922 with the secession of the Irish Free State"
https://en.wikipedia.org/wiki/Great_Britain
But this is your question so I'm happy to answer what you want answered which means I can also add;
Mary, Queen of Scots
(8 December 1542 – 8 February 1587) was Queen of Scots from 14 December 1542 to 24 July 1567.
She was the only surviving legitimate child of King James V. She was six days old when her father died and made her Queen of Scots.
After a long period of custody in England, she was tried and executed for treason following her alleged involvement in three plots to assassinate Elizabeth I of England and place herself on the English throne.
https://en.wikipedia.org/wiki/Mary_queen_of_scots