Hi . . .
Welcome to Ireland Reaching Out . . .
You pose a tough query . . . specially going that far back in time . . .
I did a little tracing . . on " Roots " (paid) . . . and found . . proof of your findings . . . Birth of Mary Downey 1802 Durrow (see below)
Then I searched for her Parents . . . Patrick / Ally . . . with NO results . . .
Next I went to our NLI (National Library ) https://registers.nli.ie/parishes/0968 .. where all the R.C. Parish records are listed . . .
BUT . . . as you will see . . . Marriage records for DURROW . . . only begin in 1811 . . .
Next my Roots . . . had NO record of the Birth of . . .Richard BOWE(s) born . . . 1800 +/- 10 years . . . first in Laoise .. then ALL Ireland
Proof of Marriage . . . 1819 . . Durrow . . . (see below) . . . BUT . . . unfortunately . . . no further info. on Parents of the pair.
Best I could do . . .
Cheers . . . Eamonn