An Etymological Dictionary of the German Language/füllen
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füllen, vb., ‘to fill,’ from MidHG. vüllen, OHG. fullen, ‘to make full’; a derivative of voll. Comp. Goth. fulljan, OIc. fylla, AS. fyllan, E. to fill, Du. vullen, OSax. fullian, ‘to fill’; also voll. —