Definition - A strong accent, especially an Irish one.

The Carolina Outer Banks brogue

Etymology -
According to the OED, the word's derivation is unknown. However, some claim that it was coined because the people who wore brogues (rough Irish-peasant footwear) spoke English with a heavy accent.

Oxford English Dictionary -
Its first citation is from 1705:
"Charles Morgan … having much of the Irish Brogue in his Speech."
(London Gazette No. 4123/4 )

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