I do not know of Honora in our family or if any of them moved to Wales. I know my grandfather's brother moved to England. All others either migrated to America or remained in Cork.
Timothy and Ainne (Anne) McCarthy did have a daughter, Bridget, born 1890 of whom nothing is known. Wonder if Bridget and Honora might conceivably be the same woman??
Sorry not to have more info for you.