I have Mary "Minnie" McKenn(e)y Anderson's death certificate, which lists her father's name as William McKenna, mother Mary McKinney, both born Ireland. If Minnie's mother's married name was used on the marriage record, Mary McKenna would have been correct [if William's surname was indeed spelled McKenna]. However, Minnie's name was shown as McKenny! The death certificate is the only document I've found so far that names Minnie's father. Her husband, William Anderson was still living, thus would have been the person to provide the info for the death certificate, so I assume it is basically accurate. It does indicate that Minnie's parents had very similar surnames.
This is certainly one of my brick-wall families!