Cooke

for reference - this looks like the 1901 census for the Cooke family you mentioned :

  Cooke household, Pollpeasty

The head of the household is Mary Ann age 59 and a widow and she's born Co. Kilkenny, her  sons and a daughter are present, as are a daughter in-law (son George's wife) and two grand-children, all of these born Co. Wexford. The family is Church of Ireland. I dont see a John Benjamin - was that the name of Mary Ann's husband ?

The townland of Pollpeasty is in Killegney civil parish, and not far from the town of Clonroche.

The births for those born after the start of civil registration in 1864 should be included on the BMD Index on FamilySearch - e.g. for one of the grandchildren, and the daughter :

Name : Joseph John Cooke
Event Type : Birth
Quarter and Year : Jan - Mar 1901
Registration District Enniscorthy
Volume 4 / Page 525

Name Alice Cooke
Event Type Birth
Quarter and Year : Jul - Sep 1881
Registration District Enniscorthy
Volume 4 / Page 628

You can use index references to order research certs from the GRO (€4) which will show further details. 

looks like John Benjamin Cooke is a son of Mary Anne, so brother to George, Alice and Samuel - based on this possible BMD Index entry, and extracted birth :

Name : John Benjamin Cooke
Event Type : Birth
Registration Year 1873
Registration District : Enniscorthy
Volume 14 / Page 697

this cross-references (name, year and page number references match) with this extracted civil birth - which shows parents as William Cooke and Mary Anne Steuart.   A research cert would show a few more detail such as place of birth for John B, his. father's occupation,  and usual residence etc..