The Atkin name is so common these days that
connection to any of them is very likely
no matter how the connection is worked out.
In my own area of New Zealand alone there
are 20 Atkin names in the telephone directory,
73 Atkins and innumerable Atkinson.Not one of
these families is known personally to my own
family but the connection would be there if we
took the time to look into it. This is in a
country with under 4,000,000 population !!!
Who knows how many there must be in England.
Good luck with your rearch.