Hi Ron and Pat,
There are 23 Hartys, and 3 tenants of landlords named Harty, in Co. Louth, including Dundalk and Dunbin, on Griffith's Valuation - the Hearty name was mispelt as Harty on Griffith's Valuation.
You can look up Griffith's Valuation at http://www.askaboutireland.ie/griffith-valuation/index.xml .
Dunbin, Dunbin Little and Dunbin Big lie south west of Dundalk half way between Dundalk and Knockbridge along the R171 Knockbridge Road from Dundalk.
Regards McShane01
PS Ronald, I hope this finds you well and I have Hearty ancestry and my Hearty ancestors lived in Castletown and Dowdallshill and some of their descendants moved to Dunleer, others to Moyode in Galway, and also to the USA, and there is a real possibility that the Heartys in my ancestry are related to these Heartys of Dunbin.
Since your post in 2015, a lot of family history information has now gone online and is freely searchable, including the microfilms of the church records in the National Library of Ireland (NLI) which are online at registers.nli.ie.
I found out the following information about your Heartys in Dunbin who moved to Castletown in Dundalk between 1842 and 1844, and then they briefly moved back to Dunbin in 1849 before moving to Hill St. in Dundalk in the 1850s.
James Hearty and Mary Martin married in Haggardstown parish on 26th December 1835 and the witnesses were Bryan Smith and Betty Carroll. Mary Martin was from Dunbin and couples usually married in the parish of the bride and the copy of the microfilm that the marriage record is on can be seen at https://registers.nli.ie/registers/vtls000632578#page/118/mode/1up . The Martins in the phone directory who still live in Dunbin today could be direct relatives of Mary Martin Hearty.
James Hearty and Mary Martin had at least 9 children baptised in Haggardstown and Dundalk parishes, and the first four children (Mary, twins James and Thomas, and Rose) were baptised in Haggardstown while the family lived in Dunbin up to 1842, the next two children (Catharine and Michael) were baptised in Dundalk in 1844 and 1846 while they lived in Castletown, the seventh child Patrick Hearty was baptised in Haggardstown in 1849, and when the family moved to Hill Street in Dundalk the last two children, Margaret and James, were baptised in Dundalk in 1852 and 1856 respectively. Older brother James Hearty who was a twin probably died before the birth of younger sibling James in 1856, and younger siblings were often named after older deceased siblings, particularly where the name was an important family name. All of these baptismal records with exact dates can be found on registers.nli.ie.
Your great grandmother Catherine Hearty was baptised in Dundalk on 19th August 1944 (not 1842) and she would have been born in Castletown, Dundalk where the family was living at that time.
Her sister Rose Hearty was not her twin and she was two years older and was born in Dunbin and baptised in Haggardstown on 9th August 1842.
Their oldest sister Mary Hearty/Heirty was born in Dunbin and baptised in Haggardstown on 8th September 1838.
I hope this is a help and stay safe and Happy St. Patrick's Day to you.
Regards, McShane01 from Dundalk.