I note that John's parents were John Mallows and Susannah Lacey who married 2/11/1789 Flixton by Bungay, Suffolk (IGI).
John born before the marriage and listed as Lucey:
John Lucey bp.7/8/1789 Flixton by Bungay son of Susannah Lucey.
4 more born at Flixton were:
Charles in 1791, James 1793, Mary 1795 and Elizabeth 1797 (all on IGI).
The family then moved to Kirby Cane where Susanna bp.4/9/1799 (FreeReg).
However, John and Susannah returned to Flixton one presumes as they were both buried there (NBI).
John Mallows bc.1766 bur.3/10/1842
Susan Mallows bc.1767 bur.16/12/1852.
Cannot find any other children - other than the possible Charles (found on familysearch pilot site). Have looked under all permutations of surname but there's simply nothing more online I'm afraid.
Annette