From the Wikipedia page

The Board of Green Cloth was a board of officials belonging to the Royal Household of England and Great Britain. It took its name from the tablecloth of green baize that covered the table at which its members sat.

It audited the accounts of the Royal Household and made arrangements for royal travel. It also sat as a court upon offences committed within the verge of the palace. While it existed until modern times, its jurisdiction was more recently limited to liquor, betting and gaming licences for premises falling within the areas attached to or governed by the Royal palaces. The Board of Green Cloth disappeared in the reform of local government licensing in 2004, brought about by the Licensing Act 2003 (section 195).

The members of the Board were: