your stuck with Scotlands people. useing my subscription elsewhere I can find no trace for the irish connection at first. I did find the Edinburgh family extending to at least 8 children born 7 from the 1901 census and one Ann b 1891 Newington from familysearch.org. I did find the spelling also included Connoly I did find apart from the census, James, as b~1883 was registered by familysearch as b 24 Jun 1881 St George Edinburgh. the other children were all registered Newington [South] Edinburgh. the 1901 census for Scotland did list staying withe family, Thomas layden b 1856 ireland brotherinlaw Blacksmith married
going backwards on Layden name, in 1911 census ireland , its distribution was only found in
Dublin
Leitrim
Mayo
Roscommon
Sligo
so Bridget Layden might have been b Ireland in one of 5 counties . I tried unsuccessfully the free
https://civilrecords.irishgenealogy.ie/ and
https://churchrecords.irishgenealogy.ie/churchrecords/I cant help further, you will need every lead you can find eventually
Lots of luck
