Some of his most significant contributions include: - The Battle of Flodden Field: A Poem of the Sixteenth Century, with Various Readings, Notes, etc.
): Despite Weber's efforts, his lack of expertise in old English literature and his failure to collate early editions of the plays led to significant criticism from contemporaries.
This work sparked considerable controversy, as detailed in subsequent editions and letters by literary figures such as William Gifford, Octavius Gilchrist, and John Mitford.
- Tales of the East; Comprising the Most Popular Romances of Oriental Origin and the Best Imitations by European Authors (1812, 3 vols.
- Popular Romances, Consisting of Imaginary Voyages and Travels (1812): This work was included in Lowndes' Bibliographer's Manual (ed.
- Genealogical History of the Earldom of Sutherland, by Sir Robert Gordon (1813): Weber served as the editor for this historical account.