Maybe her name was Barbey -mistranscribed as Barley - or vice versa?

1871
Cock & Swan Yard Wakefield Yorks
Emma Green Head widow 64 annuitant Newark Notts
Jane Green daughter U 17 Doncaster Yks
Emily Barbey daughter married 26 Wakefield Yks
Annie Eliza Barbey Granddaughter 6 Doncaster Yks
William Stephen Barbey Grandson 4 Wakefield Ykks
Alfred Edward Barbey Grandson 2 York
Emma Jane Barbey Granddaughter 5mths York
RG10 4624 83 17
Marriage reg freeBMD
Sept qtr 1864
Doncaster
on same page
John Barbey
Emily Green
9c 681
Suz