There are 4 titles associated with this firm.

Unknown, [Woman]. The ladies' school, or, The approach of the holidays. By A young lady. London: James Wallis [19 Paternoster Row], 1814.
Pilkington, Mary. A reward for attentive studies; or, Moral and entertaining stories. By Mrs. Pilkington. London: John and Edward Wallis, John Wallis Jun., 1815.