Here is a bit more
That reference to LDS for BMDs takes me to my second website
www.familysearch.com I managed to reduce the Murphys in Ireland to a Co Down and stopped after scanning quickly the first 1200 entries. Then I went back and rechecked for a Michael Murphy b Rathfryland say 1820-1840, and was disappointed.
My quick search results look like this, but you will need to go back and look at each and its source carefully sometimes an individual submitter, I think at least one person is researching Murphy in Rathfryland and of course that might be you.
The earliest entries are
Samuel Murphy m Mrs Samuel Murphy
-Had c Elizabeth Murphy b 1721 Rathfryland, Down, Ireland
Joseph Murphy b 1748 Rathfryland, Down, Ireland
John Murphy m [Mrs] John Murphy
-Had c Edward Murphy b1750 Rathfryland, Down, Ireland
Then a gap yet to be filled, perhaps from tombstones or church records
John Murphy m Ellen Lennon Murphy
-Had c Matthew Murphy b 23 NOV 1880 Rathfryland, Down, Ireland
John Murphy b 1833 Rathfryland m JAN 1872 Alice Jane Downie b1836
John Murphy m Isabella Collins
-Had C Martha Murphy 10 JAN 1874 Rathfryland, Down, Ireland
James Murphy m Anne Murphy
-Had C Margaret Murphy b 11 OCT 1872 Rathfryland, Down, Ireland
Hugh Murphy m Bridget McPolin
-Had c Patrick Murphy b 18 DEC 1872 Rathfryland, Down, Ireland
Ellen <Murphy> - IGI b04 JUL 1872 Rathfryland, Down, Ireland
Catharine <Murphy> - IGI b 29 AUG 1872 Rathfryland, Down, Ireland
James Murphy M Anne Ellen Cunningham
-Had C John Murphy B 09 Jan 1866 0868, Rathfryland, Down, Ireland
Franscis Murphy M Eliza Geddes
-Had C Michael Murphy B 13 Nov 1864 0786, Rathfryland, Down, Ireland
Charles Murphy M Rose Lowry
-Had C Andrew Murphy B 07 Nov 1866 0797, Rathfryland, Down, Ireland
Peter Murphy M Selina Mcalindon
-Had C Bernard Murphy B 06 Feb 1866 0871, Rathfryland, Down, Ireland
James Murphy M Mary Mcalevy –
Had C Michael Murphy B 09 Jan 1866 0868, Rathfryland, Down, Ireland
Terance Murphy M Jane Parks –
Had C Eliza Murphy B 09 Apr 1867 0983, Rathfryland, Down, Ireland
James Murphy M Anne Murphy –
Had C Anne Murphy B 01 Oct 1866 0796, Rathfryland, Down, Ireland
Joseph Murphy M Susan Hamiltan
-Had C Robert Murphy B13 Sep 1864 0730, Rathfryland, Down, Ireland
John Murphy M Mary Anne Magheral
-Had C Theresa Murphy B 25 Aug 1864 0728, Rathfryland, Down, Ireland
John Murphy M Catharine Gribbin
-Had C Ellen Murphy B 23 Dec 1866 0878, Rathfryland, Down, Ireland
William Murphy M Catherin Fegan
-Had C Owen Murphy B01 May 1867 0988, Rathfryland, Down, Ireland
William Murphy M Mary Brady
-Had C Alexander Murphy B 14 Jan 1864 0651, Rathfryland, Down, Ireland
William Murphy M Mary Brady
-Had C Alexander Murphy B 13 Jul 1865 0807, Rathfryland, Down, Ireland
768. Mary Anne Murphy - International Genealogical Index
Gender: Female Birth: 29 Jan 1864 0652, Rathfryland, Down, Ireland
769. Mary Murphy - International Genealogical Index
Gender: Female Birth: 14 Jul 1866 0833, Rathfryland, Down, Ireland
770. Mary Anne Murphy - International Genealogical Index
Gender: Female Birth: 29 Dec 1866 0877, Rathfryland, Down, Ireland
837. Maryann Murphy - International Genealogical Index
Gender: Female Birth: 06 NOV 1880 Rathfryland, Down, IrelandHusband
John Murphy m Mary McWhiney Murphy
-Had c Leticia Murphy b16 APR 1879 Rathfryland, Down, Ireland
William Murphy m Mary Brady
-Had c James Murphy b18 SEP 1873 Rathfryland, Down, Ireland
John Murphy b 1833 Rathfryland, m Alice Jane Downie JAN 1872 Rathfryland,
William Murphy M 21 Feb 1846 Rathfryland, Sarah Anne Hardy With His Father: Robert Murphy Her Father William Hardy
I found it an interesting challenge to look among a relatively common surname, and if related I would amalgamate the websites to see if further relationships build up. However I haven’t connected your query, so my apologies and good luck to you.
There are several other sites to try
good luck, jim