156 bn, the Parachute Regiment, were formed in India from volunteers from other British units. They became notorious for brawls and bad behaviour, mainly resulting from boredom and lack of parachute training.

Rather than disband the unit, the authorities sent it back to Britain. (Many of its soldiers had already served more than three years in India, and would have had to be sent home anyway.) It formed part of 4th Para brigade, and was destroyed at Arnhem.

However, I doubt whether this single episode would bring shame on the entire regiment. (In any case 156 bn more than redeemed themselves by their conduct and sacrifice at Arnhem).

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For infantry and cavalry units, the "Royal" prefix to the title was (and is) usually granted as a favour, for long and meritorious service. The suggestion might be made by the monarch, but the only paperwork would be an instruction from the Army Council. Any warrant or other paper from the monarch would be only the gilding on the deed. The Royal Artillery (and Royal Horse Artillery) on the other hand, were established late in the seventeenth century or early in the eighteenth century by Royal Warrant.

For many years the RA and RHA were administered not by the War Office, but by the Ordnance Board. This complicated system exasperated Wellington and other generals in the field. It was even worse in the previous century, as there had been a separate Corps of Artillery Drivers, administered separately from the gunners.

As I think I mentioned somewhere in this thread, British artillery officers during the Napoleonic wars were supposedly more serious and professional than their infantry and cavalry counterparts. However the separate administration of the artillery until 1830 (I think; I'll have to check the correct date) kept artillery officers out of field commands until 1842 when Sir George Pollock relieved Jalalabad and recaptured Kabul.

(A RA Officer named Phillips commanded the "Convention Army", i.e. Burgoyne's army which had surrendered at Saratoga, and languished in Boston until the War of Independence ended. However, this is hardly a field command, and Phillips was soon exchanged for captured American officers.)