It could of course have been 'of Weedon' (a parish in Northamptonshire), and then subsequently shortened to Awedon. In those days not everyone was literate, spellings had not been standardised, and you had to rely on whoever was writing documents to use their skill and judgement to determine how your name was written.
I give as an example my maiden name of Sedgwick. In the reign of Elizabeth I this was written as Seighwycke by one scribe, and Sidgwick by another. The name went through various transitions (depending very much on the literacy and hearing ability of the writer). Thus it ventured through Sidgwick to Shedwick, Cedric and Siggsworth, before it reverted to Sidgwick in the late 1800s - where it remained until the careless pen of a parish clerk in the early 20th century changed it to Sedgwick. And thus so far it has remained.
Regards
GS
