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Baptismal records for Clonea/Rathgormack RC parish start in March 1831 but marriages are not available until March 1845. https://registers.nli.ie/parishes/1115
The free site www.irishgenealogy.ie has civil birth, marriage and death records The registration district for Mothel parish would be Carrick on Suir.
Death records are available from 1878-1969 with index records available for 1864-1877. I took a quick look and did not see any Honora Hennessy records. There were two James Hennessy records but both were for individuals living in Tipperary.
Let me know if you have questions.