Is it a waste of time trying to find records right back to before1830 ,found one marriage in 1874 of my grandmothers sister ,

York Road.   

I think this is the problem. Most certainly everyone in the Public sector will benefit and perhaps the Private sector as well. Dealing with the Public sector, its quite clear the bumbling, buffoonish figure that is Farry, has goofed, big time. I note that in the past he has always been highly critical of excesses as he puts it. Perhaps he doesn't consider this `goof` as an excess, even through it could make the RHI scheme look like pocket money, in comparison ?    Proof positive why the Alliance party, shouldn't hold Ministerial posts. 

That Irishgenealogy website you have used, is it
https://www.irishgenealogy.ie/en/   I am not looking it up until I read your reply

if you did then some location or church should have been cited or perhaps some detail witnesses might give clues  You have come onto the Belfast forum so that leads me onwards in the meantime  Belfast itself lies in Co Antrim and in Co Down

the census substitutes include the Tithe Applotment books 1823-1837 indexed by parish by the the Irish Genealogy hub, however it’s a one line record name and qty of land for tax purposes, nevertheless useful in the 6 counties by county no Belfast but in case Andrew comes into Belfast at the time of James birth
Graham, Andrew-Townland: Ballykennedy Year: 1827-Killead-Antrim
Graham, Andrew-Townland: Anagrane Year: 1834-Aghavea-Fermanagh
Graham, Andrew-T: Boyaghan Y: 1835-Derryvullan-Fermanagh
Graham, Andrew-Tl: Gubbaroo Yr: 1828-Magheraculmoney-Fermanagh
Graham, Andrew-Townland: Anagrane Year: 1834-Aghavea-Tyrone
Graham, Andw.-Tl: Strabane Fields and Gardens Yr: 1828-Camus-Tyrone
Graham, Andrew-T: Killicorran Y: 1825-Clogher-Tyrone
there are to many Dunlap and Dunlop to list

the census substitutes include the Griffiths Valuation http://www.askaboutireland.ie/griffith-valuation/index lists
if Andrew is still alive
the Co Antrim list includes
GRAHAM   ANDREW   ANTRIM   CONNOR       
GRAHAM   ANDREW   ANTRIM   KILLEAD       
GRAHAM   ANDREW   ANTRIM   KILLEAD       
GRAHAM   ANDREW   ANTRIM   NEWTOWN CROMMELIN       
GRAHAM   ANDREW   ANTRIM   BILLY       
O'CONNELL   MARY ANNE   ANTRIM   BILLY       
GRAHAM   ANDREW   ANTRIM   DERRYKEIGHAN   
the Co Down list includes
GRAHAM   ANDREW   DOWN        DRUMBO
this is dated 1863 he has a modest house in Ballycowan townland that’s the nearest to Belfast so far

on the basis of what you list those Graham/Dunlop are :-
not in ancestryireland.com
not in http://www.rosdavies.com which is just Co Down recheck for Drumbo entries
not obvious in familysearch.org  where there are Samuel Graham m  Dunlops
in https://www.emeraldancestors.com/  marriages
1847   Andrew  GRAHAM   Eliza  withheld   Lisburn   Antrim   
1855   Andrew  GRAHAM   Eliza  withheld   Ballymena   Antrim   
however the reverse check for Eliza Dunlop did not produce matches
1847   Thomas  withheld   Elizabeth  DUNLOP   Ballycastle   Antrim
1848   John  withheld   Eliza  DUNLOP   Larne      Antrim   
1850   Edward  withheld   Elizabeth  DUNLOP   Coleraine   Antrim   
1852   John  withheld   Elizabeth  DUNLOP   Ballycastle   Antrim   
1852   John  withheld   Elizabeth  DUNLOP   Belfast      Antrim   
1854   Peter  withheld   Elizabeth  DUNLOP   Belfast      Antrim

my understanding is emeraldancestors is built upon family search results and you can join and buy credits etc
variations on graham spellings are rare, Dunlop sometimes Dunlap

lastly you can search for Andrew Graham in street directories that are based on Belfast
eg http://www.lennonwylie.co.uk Mary Lennon’s index is quicker
eg https://streetdirectories.proni.gov.uk

do you have more information? 

Hi Richard. Thank you for getting in touch.  That's amazing family history you have. Do you know if he or his mates there used morse code to talk to each other as they were deaf? My research says yes but I don't know what They said to each other in morse code. Was he a catch boy as I read if they didn't have a glove to carry the rivets they had to carry by hand these scolding hot metal rivets. They really had a bad time of it. I'm including the previous years dock strike with Jim larkin. 

Roy thank you for information.  This is good stuff. . My novel is in the early stages but it's coming along really well I'm getting some really interesting information. . Titanic belfast doesn't really say a lot about the ship builders which I think is a shame as they were as important as the victims of the ship as well and ma nydied building it. I think their story needs to be told.

Helen.