1. Alphabetical order in modern Old English glossaries and dictionaries
long and short vowels are not differentiated (like older Icelandic dictionaries)
æ used to be treated as ae, coming between ad and af. In later works, incl. Baker, it is a letter which follows a – a,æ,b,c ...
ð and þ are treated as the same letter, coming after t.

2. Icelandic alphabetical order for Anglo-Saxons.....
accented vowels (á é í ó ú ý ú) are not differentiated in older works; now they are, so á comes after a.
þ, ð, æ and ö are added after z.
So:
u, ú, v, (no w), x, y, ý, z, þ, ð, æ, ö.
But of course no word begins with ð.