eke (v.) Look up eke at Dictionary.com
c.1200, eken "to increase, lengthen," north England and E. Midlands variant of echen from Old English ecan, eacan, eacian "to increase," probably from eaca "an increase," from Proto-Germanic *aukan (cognates: Old Norse auka, Old Frisian aka, Old High German ouhhon, Gothic aukan), from PIE *aug- "to increase" (see augment).

Now mainly in phrase to eke out (1590s). It means "to make something go further or last longer;" you can eke out your income by taking a second job, but you can't eke out your existence. Related: Eked; eking.
eke (adv.) Look up eke at Dictionary.com
"also" (obsolete), from Old English eac, cognate with Old Saxon, Old Dutch ok, Old Norse and Gothic auk, Old Frisian ak, Old High German ouh, German auch "also;" probably related to eke (v.).