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Here is a link to the parish register for Annakissy that shows the pages for marriage records for the first part of 1829. https://registers.nli.ie/registers/vtls000634081#page/38/mode/1up I do not see a February 23rd marriage at all and the marriage for Michael Ahern and Mary Leahy appears to be May 23. (see right hand page).
I think the Dan record you located was for a different Michael Ahern/Mary Leahy family.
By the way, there was also a Mary in 1836. See baptismal transcription below from the subscription site Roots Ireland.
Did you locate a death record for Patrick? Dioes it show Mary Leahy as the mother? Ancestry.com has Pennsylvania death records from 1906-1964.
I think you have the correct family. Co. Cork RC parishes generally go way back close to 1800 so it is unlikely that you would have a situation where the family married and had children in a parish where records start in 1845.
I don't think you will find burial records for someone who died in 1850 or earlier.
Let me know what questions you have.
Name:Mary AhernDate of Birth:
Date of Baptism:11-Aug-1836Address:B CurrigParish/District:KILLAVULLENGender:FemaleCountyCo. Cork
Father:Michael AhernMother:Mary LeahyOccupation:
Sponsor 1 /
Informant 1:James HanlonSponsor 2 /
Informant 2:Mary Ahern