Notes & Queries, 3rd series, volume 1 (8 March 1862), page 189 with "down the khud", supposedly used of a person falling down a precipice in the Himalayas.
Cassell's Dictionary of Slang (1998) suggests falling off the raised bank of a bog into muddy water.
Bernard Share (Slanguage, 1997) suggests a link to "The Banks of my own Lovely Lee", a Cork anthem nicknamed "De Banks".
See also:
Laurence Urdang, Walter W. Hunsinger, Nancy LaRoche, Picturesque expressions: a thematic dictionary (1985, , page 571
The New Partridge Dictionary of Slang and Unconventional English (2006, , volume 1 A–I, page 646
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