Waddle

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late 16th century: perhaps a frequentative of wade.

wiktionary

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From Middle English *wadlen, frequentative form of waden, equivalent to wade +‎ -le. Compare Old High German wadalōn(“to roam; wander”), Middle High German wadelen, wedelen(“to wander; rove”), German wedeln(“to waggle”). First known use in English in a version of the Song of Roland around the year 1400. (Source:OED online)

etymonline

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waddle (v.)

"to walk with short steps, swaying from side to side; to walk as a duck does," 1590s, frequentative of wade. Related: Waddled; waddling. The noun is recorded from 1690s.