I found the following on irishgenealogy.ie. It's for a Wm. Ballard baptized in 1782. His parents were Wm and Ann (not Mary).  Perhaps this is the Wm. you are seeking?

Area - DUBLIN (COI) ,

Parish/Church/Congregation - ST. NICHOLAS WITHOUT

Baptism of WM BALLARD of COOMBE on 10 August 1782

Name  WM BALLARD

Date of Birth   N/R N/R N/R

Address           COOMBE

Father WM BALLARD

Mother           ANN

Book Number Page    Entry Number Record_Identifier

3          12        301      DU-CI-BA-163642

There was also a Christopher Ballard of Coombe born to Wm. and Ann:

DUBLIN (COI) , Parish/Church/Congregation - ST. LUKE

Baptism of CHRISTOPHER BALLARD of THE COOMB on 30 May 1773

NameCHRISTOPHER BALLARD

Date of BirthN/R N/R N/R

AddressTHE COOMB

FatherWILL BALLARD

MotherANN BALLARD

Father OccupationSHEERMAN

About the record

Book NumberPageEntry NumberRecord_IdentifierImage Filename

N/R72N/RDU-CI-BA-105986d-155-1-1-129

Thanks

Did you see any marriage for him or anything on Ann McBride his wife?

Regards

I understand ‘Ballard’ and ‘McBride’ outside of Ulster is predominantly Catholic in Ireland for births, baptisms and marriages.

Regards

Hi Patricia

i checked all he entries for Ann McBride for Dublin with no luck. Trouble is I don’t know if they were Catholic or Protestant and as is often the case with names in Ireland, McBride and Ballard appear in both RC and COI entries. I also assume that these records are incomplete or just sometimes didn’t exist.

regards