1834 - three listings for Mealy :
James Mealy, furniture broker, 30 Liffey St. Lwr
Edmond Mealy, stucco plasterer & painter, 1 Pleasant St.
Mr. Mealy, Coach owner, Drumcondra Rd. (also at Prince's St.)
Plenty of bakers listed in Pigot's 1824, but no Mealys. The only Mealy in the index is the Edward/Edmond mentioned in the 1834 listing at Pleasant St.
I'll check the 1813 Treble almanac a little Later...
S.