Hi, i have a brick wall that i am hoping for some help with please

My Husband's Great x 2 Grandparents are Michael Carney and Bridget McGarry. This has been confirmed via baptism records (Cheshire non conformist) and i have been unable to find a marriage for them.
Michael was born approx 1823, Bridget's yob varies between census but is approx 1827. Both according to census records, were born in Galway.
They moved to Congleton/Astbury in Cheshire around 1851 - 1853 as their first 4 children were born in Galway, their 5th in Congleton.
Mary Ann Carney 1848 Ireland
Winifred Carney 1850 Ireland
Patrick Carney 1851 Ireland
James Carney 18531895 - Ireland
Thomas Carney 1855 Congleton
Edward Carney 1859 Congleton
Catherine Carney 1861Congleton
Jane Carney 1863 Congleton
Bridget Carney 1865 Congleton
Anna Carney 1867 Congleton
Michael Carney 18701928 - Congleton
Any help tracing the marriage for Michael and Bridget, and if possible their parents name would be amazing.
Many thanks
Lisa