Here’s another question that recently lead someone to this blog:
Is Ealce another spelling for the name Alice?
The answer is “probably not — but we can see why you might think so.”
Alice was a popular name in England from the 12th century onwards, appearing in a variety of spellings in Middle and Early Modern English. Quite a few of the vernacular forms drop the second vowel, resulting in spellings such as Alce, Alls, Als, and Alse. Less common are variants which swap the initial A for E, such as Elyce, Ellisone (both in data awaiting processing), Elis, and Ellis; and all of these may be forms of Elizabeth rather than of Alice.
But to date, we have found only one variant of the name which starts with Eal-, and that not until the early 17th century (the spelling Eales is found in a parish register from Chester-le-Street in 1616). The combination of the dropping of the second vowel along with the extremely rare conversion of the initial vowel make it unlikely that Ealce is a form of Alice (though, knowing what we do about names and variant spellings, we are hesitant to discount the possibility entirely).
It is, however, a legitimate name — just one independent of Alice! Ealca or Ealce is an Old English name, deriving from ealh ‘temple, sanctuary’, and probably a short form of any of the various names beginning with this element, such as Alcwin. We do not have any definite examples of this name being used, but we do have evidence for its use deriving from place names; the place Awkley or Auckley, recorded in 1278 as Alkelaye, in 1316 as Alkeleye, and c1500 as Aulkeley, can be decomposed into this personal name plus Old English leah.  Regarding the personal name, SOURCE notes:
it cannot be denied that we find traces of a mythological person of the name Ealce, etc., see Middendorf, s.v. On Low German territory, in the neighborhood of Osnabrück, the geographical names Alke Krug and Alk Pool are found close to an ancient heathen place of worship. The same deity or deities seem to be mentioned by Tacitus in the Germania, c. 43: “Apud Naharvalos antiquae religionis lucus ostenditur. praesidet sacerdos mulierbri ornatu, sed deos interpretatione Romana Castorem Pollucemque memorant. a vis numini, nomen Alcis (var. Alces vel. Alci).”
So, it is a name, albeit not clearly the name of an actual person, as opposed to a mythical god, and likely not a variant of Alice.
 J. E. B. Gover, A. Mawer, and F. M. Stenton, The Place-names of Nottinghamshire: Their Origin and Development, English Place-Name Society (Cambridge University Press, 1940), p. 6.