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Thanks to everyone for your imput,the reason for the assumption that this is my family is that Grandfather ie BENJAMIN DAVIS always insisted that he was born in SUNDERLAND Co DURHAM on 1st March 1869 and on subsequent official Census docs this appears ;yet despite searches no registration of Birth is apparent.
Family correspondence states that an "Uncle" who had a Glazing firm in DUBLIN existed and was visited by family members,research shows that JACOB DAVIS moved to DUBLIN,Married in 1873 and had a family of 12 all born in DUBLIN,his business being GLAZIER and then General Contractor.
BARNETT (BENJAMIN) however disappears then surfaces in 1890 in DUBLIN to marry ISABELLA LEVENSTON noting on the Marriage Cert that his Father was dead at this time.His Mother "Anne" turns up on the 1911 Dublin Census and later in 1911 dies at her Son Jacob's House in Dublin named as "ESTHER DAVIS" age 75 Widow.
It seems highly probable that "BARNETT" and "ANNE" married in RUSSIAN POLAND c1853 and between them had 10 Children 4 of which survived (1871 Census) and 1911 Dublin Census )DAVIS being a "Taken Name"
Taking in all the above,there is no indication of what happened to the bulk of the family between 1871 and 1890,no sign of ANNA (HANNAH ?) or MOSES DAVIS and no burial place for "BARNETT Senior"

right so the Barnett Davis marriages put on here are not the right ones.. or at least the red herring of 'Price' is not correct.....

This would be Jacob in 1901 Irish census ...perhaps interesting to note son 'Barney' wonder if his full name was Barnett?

Residents of a house 23 in Wynnefield Road (Rathmines, Dublin)
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Surname Forename Age Sex Relation to head Religion
Davis Sammie 6 Male - Hebrew
Davis Dora 2 Female - Hebrew
Davis David 16 Male - Hebrew
Davis Moses 4 Male - Hebrew
Davis Fanny 8 Female - Hebrew
Davis Annie 12 Female - Hebrew
Davis Rebecca 14 Female - Hebrew
Davis Barney 10 Male - Hebrew
Davis Jacob 48 Male Head of Family Hebrew <<<<< Glazier
Davis Bessie 36 Female Wife Hebrew

Walter I also can't see any birth reg.

edit married under name of benjamin Davis....

????
possible name change

Barnett Roberts, "England and Wales Census, 1901"
Name: Barnett Roberts
Event Type: Census
Event Date: 31 Mar 1901
Gender: Male
Age: 32
Relationship to Head of Household: Head
Birthplace: Sunderland, Durham
Schedule Type: Household
Registration District: Stratford On Avon
Sub-District: Stratford On Avon
Ecclesiastical Parish: Holy Trinity
Civil Parish: Old Stratford Within
District/Parish/County: Warwickshire

Walter is one of the trees on Ancestry yours ( it has photos of Isabella Jacob Levenston) because that has Benjamin Davis parents as David Davis and Ethel Humphreys ??

The only thing I can suggest re Benjamin's birth is Synagogue records for Sunderland?

Yes it is an interesting problem that has occupied me for over 30 yrs,with "red herrings plentiful";Jewish names have the nasty habit of being anglicised and often pet names as opposed to real ones apply.
I have learnt to ignore transcripts and go back to original docs where possible and look at them closely.If you key in the Polish derivative of DAVIS some 300 or so names appear which could have the original,DAVIS being chosen as it sounds English and is loosly the son of David.
Possibly the name was changed after entering the Country, but I am amazed that the Mother and Father would not insist on a Birth Certificate which would give their Son automatic British Nationality as I can find no other Application for British Nationality for the other members of the Family.