Thank you for your reply. Yes, we are of the same lineage. My mother was Mary Loughrey, her father was William Loughrey and his wife was Caroline Mackay who was Scottish, got married in Dublin, which is where I am from. William (my grandfather was born 1874 approx and Patrick (your great grandfather) was, I believe about 3 years older. I was in Derry a few years back and through a family friend of the Loughreys met another Patrick Loughrey who, like yourself, is a great-grandson of Patrick and Ellen. The family friend (Billy Doherty) also said that he understood that the Loughrey family originated in Rathmullan, Co. Donegal. I have gotten back as far as Patrick and Catherine Beattie and believe they were both born about 1843. that is as far as I have got, however, I'll go up to Derry fairly soon and have another try.
Please let me know if there is any info I might be able to tell more about.
Lovely to hear from you and I'll leave you to work out what the relationship between us is!