Ive uncovered the following about the origin of the name Ainscough......now also on wikipedia.http://en.wikipedia.org/wiki/Ainscough
It is thought that the name is derived from the Norse words "ask skog". The o is pronouced as oo (food) even now in Norway and Sweden—thus Askoog, Old English (Old Norse) meaning ash tree / forest. Although other sources suggest that Aiskew is a corruption of the words "Eiki Skogr" translating to Oak Wood. In Medieval English the name was pronounced - Akeskeugh.
This is also my line, Peter being my father - I'd love to hear from you - more info. about the family can be found at:http://ainscough-familyhistory.blogspot.com