"waterproof high boots," 1841, plural agent noun from wade.
Entries linking to waders
wade v.
Old English wadan "to go forward, proceed, move, stride, advance" (the modern sense perhaps represented in oferwaden "wade across"), from Proto-Germanic *wadanan (source also of Old Norse vaða, Danish vade, Old Frisian wada, Dutch waden, Old High German watan, German waten "to wade"), from PIE root *wadh- (2) "to go," found only in Germanic and Latin (source also of Latin vadere "to go," vadum "shoal, ford," vadare "to wade"). Italian guado, French gué "ford" are Germanic loan-words.
Specifically "walk into or through water" (or any substance which impedes the free motion of limbs) c. 1200. Originally a strong verb (past tense wod, past participle wad); weak since 16c. Figurative sense of "to go into" (action, battle, etc.) is recorded from late 14c. Related: Waded; wading.
Forbade to wade through slaughter to a throne,
And shut the gates of mercy on mankind,
[Gray, from "Elegy Written in a Country Churchyard"]