The Royal Mint does not produce a "quarter" coin.
The British have never issued a "quarter" coin.
around 1 great british pound
There was no 1955 British Crown (Five Shillings) minted. You possibly refer to the 1953 "Coronation" Crown.
There were no S-mint quarters struck from 1955 to 1967 inclusive and no US coins carried mint marks during the transition from silver to clad coinage in 1965-67.
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A British 2012 22 carat gold Quarter-Sovereign coin (Elizabeth II),(boxed Proof) is currently retailing for £130 GBP from the Royal Mint.
The 1955 quarter dollar is a common coin from both mints and therefore carries no value other than its silver content which is about $3.50. Some uncirculated and unhandled coins will fetch a small premium of up to $15.00, but you would need to bring it to a coin dealer for an assessment if it appears to be in mint condition for an accurate idea on its value.
The Halfcrown is a silver coin. If you have a gold coin it is because somebody plated it. Modified coins have no collector value.
Such a coin does not exist. The first Quarter-Sovereign coin ever produced by the Royal Mint was minted in 2009.
is there a value on a canadian 1964 quarter
The value of a 1951 quarter will value depending on the condition and where it was minted. The value ranges from 3.52 to 4.30.
Any valuation would depend on the denomination and condition of the coin.