Green’s Dictionary of Slang

1. a Bajan, a native of Barbados; thus Bimshire, Barbados.

1864		Ibis Jrnl 159: Barbadoes, or ‘Bimshire’ as it is playfully called, presents a very striking contrast to the other Windward Islands.
1868		Agricultural Reporter in Chester Transatlantic Sketches 86: A legend tells how our island got its soubriquet of ‘Bimshire,’ and we of ‘Bims,’ by some old planter enumerating the counties of England as follows:— ‘Wiltshire, hampshire, Berkshire, Bimshire!’.
1870		Cornhill Mag. Feb. 165: The inhabitants of a certain small island, known by the nickname of Bimshire, believe, I am told, that they are the very cream of the world. They exclaim, ‘Bimshire, with all thy faults we love thee still!’.
1888		W.A. Paton Down the Islands 132: Barbados is known to the initiated as Bimshire—a Barbadian as a Bim.
1909		G.H. McLellan Phases of Barbados Life 3: A letter appeared in the Daily Argosy (Demerara) asking the origin of the word [...] ‘Bimshire’, a name designated to Barbados. [Ibid.] 55: Fond as the ‘Bim’ is of his possessions in the way of pigs and goats, he never loves them sufficiently to resist the temptation of selling them at a profit.
1970		F. Collymore Notes for Gloss. of Barbadian Dial. 18: Bim. ‘A native of Barbados’ [C.O.D].

2. (W.I.) Barbados.

2012

Jam. Gleaner 29 Feb. 🌐 The real motive behind their invitation is to visit them in Bim.