Hi, I had difficulties immediately, The RIC are sometimes listed under villages and towns in Street directories but I could find no proof that Edward was in the RIC so I continued ending up trying ancestryireland.com where various Edward Tierney are listed as the father in Co Down of various Tierney, and once I had acquired possible childrens names after 1870, I then checked familysearch.com which confirmed both parents names in every case except the last ie William 1887.
This produced this list which shows the children being born in different counties
Eg Catherine Mary Tierney b 1871
She is Kate Mary in familysearch.com b 17 May 1871 birthplace Newtownards, Co Down, Ire with right parents
Eg Edward b 1872
He is Edward and is definite same family in familysearch.com 26 Dec 1872 birthplace given as Ireland
Eg Thomas 1875
He is Thomas and is definite same family in familysearch.com 23 May 1875 birthplace Belfast, Co Antrim, Ireland
but could be also the Thomas A Tierney described as Stepson living at 1 William Street Newtownards with McCall and Maxwell in 1901 census
Eg James William 1880
He is James William and is definite same family in familysearch.com 29 Jun 1880 birthplace Holywood, Down, Ireland
Eg William 1887 I couldn’t find him in Ireland. There was a William Grant Tierney b Toxteth Park, Liverpool in qtr ending June.
But by the census of 1901 and 1911 they have all disappeared except for possibly for Thomas. Did they move to England ? or emigrate ? or what
Ros Davies Co Down website gives some interesting entries for Edward Tierney and other newtownards Tierney. Who was Alexander or John Tierney, a brother, the father or no relative atall. A much earlier Francis of 1812 is mentioned.
Also in her surname index is
a Miss Kate Julia O'Loughlin . Newtownards wife of Robert Francis Magee ; mother of Ellen Mary b. 1869 & Robert Joseph b. 1871 & Kate b. 1873 CR . Could this be a sister of Alice josephine
Looking at another good source
www.askaboutireland.ie/griffith-valuationThe nearest I could find to a O’Loughlin in Co Cavan was just one Francis Loughlin. I also found a Stephen O'Loughlin living in Co Clare
So sorry I couldn't trace what you wanted, but hoping some of this is useful information