Elfric, Alfric and Elrick are other forms. (Source: Sheard, K.M., (2011), Llewellyn's Complete Book of Names: For pagans, witches, wiccans, druids, heathens, mages, shamans & independent thinkers of all sorts who are curious about names from every place and time, Llewellyn's Publications, Woodbury, Minnesota, USA, page 195)
In Anglo-Saxon England, the "ric" name element was pronounced like how most English-speakers pronounce "rich" today; so, this name would've been pronounced EL-fritsh in its time (perhaps later becoming AL-fritsh, as the ash seemed to take on a short-A sound in masculine names over time - see Alfred).