Bless your heart, Claire.  

 Thank you for looking. 
 I did see that Anne Boyle before and discarded that listing  as unlikely, as she is always referred to as 'Annie Maria' on censuses and her marriage certificate (Manchester St Mary's,  (the hidden Gem)) and also she would have been much younger when she married, if that is my Annie. 
 On the 1971 census her age is 8. too.  Annie Maria  told of her voyage to England as being very scary  and being tossed about on the ship, and seeing whirlpools,  and fearing they would all drown,  so I think she must have arrive shortly before this census. She was old enough to have remembered such things , unless she was relating  her parent's memories?)
She is on the 1881 census as being 18, with some other Boyles , lodgers, from Leitrim.( Her father deceased. 1874 )  Lodgers James Boyle M (  where is the wife?) age 72 cattle salesman, and Thomas Boyle un age 18  Hog salesman. all say born Ireland.
She married Thomas Boyle, Jan 8 1883, his  age given as 22( father also Thomas Boyle. catttle dealer and, it seems, a witness at the marriage )
Annie maria gave her age as 21. 
On the 1891 census both Thomas and Annie Maria gave their ages age 29
On the 1901 census At last we find the counties! Annie Maria b. Tyrone, Thomas who she married , from Leitrim. The vague  family story was they all came from Leitrim so the Tyrone Co  part was a surprise.  

They had four children. Annie Maria died young though,  Mitral Stenosis) 21st Nov 1908. One of her daughters  Margaret,  who present at the death gave her age as 41. ( I thought maybe a mistake, a seven written like a one?) 
She is buried, I found out from a kind soul who looked it up for me, at St Joseph's cemetery, St Patrick's section, in a shared grave.  Her age, on their records, given as 42.  
Other names mentioned were, a Mary Duffy was a witness to the marriage, and the family  had a Robert Knox (B Ireland) un b about 1844,   as a lodger for at least 10 years on the  1871 and  1881 census 
 Somewhere, out there in Ireland( Tyrone? )  is a Catholic  church with the record of my Annie Maria Boyle.  
Then there are my Shaughnessy's ........ :-))