I have Wyeth's from the Basingstoke area. One of them, Mary Ann Wyeth b1830 moved to the IoW and married Henry Beere. I also have lots of family on the IoW.
I can't see why she would leave her family and travel over 50 miles for work (when there must have been work nearer home) unless she already had a connection to the IoW.
Do you have information on where your Wyeth's came from?