From Middle English eche, ece, from Old English ēċe, ǣċe (“perpetual, eternal, everlasting”), from Proto-Germanic *aiwikjaz, *aiwōkijaz (“eternal”), from Proto-Indo-European *h₂eyu- (“lifetime”). Cognate with Dutch eeuwig (“eternal”), German ewig (“eternal”), Swedish evig (“perpetual, eternal”).
(third-person singular simple present eches, present participle eching, simple past and past participle eched)
From Middle English echen (“to increase, augment”). More at eke.