There were only two, possibly three years in which Groats were minted during the reign of Queen Elizabeth 1, and there were no Groats minted from 1562 to about 1640. The following is an estimate for a Groat coin which may have been minted in or around 1561.
A British 1561(?) silver Groat (Fourpence)(QE I), circulated but still in good condition, might fetch anything from £135 to £600 GBP.
A reputable coin dealer will be able to identify your coin and give a more accurate valuation.
The Royal Mint produced no Groat (Fourpence) coins from 1777 to 1779 inclusive.
Due to Britains ongoing expenses with various wars in the late 18th and early 19th centuries, there were very few silver or copper coins minted, subsequently there were a great many privately minted tokens and counterfeit coins produced.
To get an estimate of value on a privately minted token, you need to provide the details of the inscription on the token.
Such a coin does not exist. The last British Groat (Fourpence) was issued for circulation in 1855.
The Groat was last minted for British circulation in 1855. There was a "once only" minting for British Guiana in 1888.
The Royal Mint produced no Groats (Fourpence) coins from 1801 to 1835 inclusive.
The British Groat (fourpence) has never been minted with a hole. If somebody has drilled a hole in your Groat or any other coin, it is worthless.
The last British Groat (Fourpence) coins minted for general circulation were issued in 1855. There were Proof coins minted in 1857, 1862 and 1888. The Groat does not seem to have been officially withdrawn from circulation at any time and was still being used in some ceremonies well into the 20th century. Circulation of the Groat just seems to have declined as most found their way into coin collections. The Groat has continued to be produced as part of the British silver Maundy set, an annual ceremony which continues to this day. The Groat is no longer circulated since the silver content and numismatic value of the Maundy coins far outweigh their face values.
In 1588.
Spanish Armada
A British 1840 silver Groat (Fourpence)(QV), uncirculated and in absolute mint condition could fetch up to £125 GBP. If it has been circulated but still in good condition, it might fetch anything from £5 to £45 GBP. A British 1840 silver Groat (Fourpence)(QV)(with small round "o"), uncirculated and in absolute mint condition could fetch up to £150 GBP. If it has been circulated but still in good condition, it might fetch anything from £8 to £50 GBP. A reputable coin dealer will be able to give a more accurate valuation.
The Spanish had its Armada defeated in 1588 by the British Navy...
All British Groats (Fourpence) minted in the 19th century were made from sterling silver (92.5%).
The English (not British) defeated the Spanish Armada in 1588 when Shakespeare was 24.
The British Groat, as distinct from a Maundy Fourpence, was minted irregularly from 1763 to 1800, and not at all from 1801 to 1820. A British silver Groat (Fourpence)(George III), circulated but still in good condition, it might fetch anything from £7 to £45 GBP. The 1765 coin might get substantially more and is one to look out for. The values quoted are the best possible for the best specimens in their grades, but may be significantly lower due to varying demand for the coin and the prevailing economic climate. A reputable coin dealer will be able to give a more accurate valuation based on inspection of the coin.