From NARA Publication https://www.archives.gov/files/research/military/bounty-land-1775-1855.pdf
War of 1812 Bounty-land warrants for service in the War of 1812 are based on acts of 1811 and 1812. Surviving veterans also qualified for such benefits under acts of 1842, 1850, 1852, and 1855. Many War of 1812 bounty-land records are also interfiled with the War of 1812 pension files. [These series have been microfilmed and digitized]
___M848, War of 1812 Military Bounty Land Warrants, 1815–1858. 14 rolls. DP. Arranged numerically by warrant number. An index appears on Roll 1. These warrants relate to files from the Territories of Michigan, Illinois, and Louisiana (in present-day Arkansas). [Available for free on Acenstry.com during the COVID-19 Pandemic https://www.ancestry.com/search/collections/1165/ ]
___M313, Index to War of 1812 Pension Application Files. 102 rolls. DP. Arranged alphabetically by surname. This series relates to claims based on service rendered between 1812 and1815, including military actions against Indians during the War of 1812. Each entry provides the filing information for bounty-land warrants granted under the acts of 1812, 1850, and 1855. [Available for free on Acenstry.com during the COVID-19 Pandemic https://www.ancestry.com/search/collections/1133/ ]
Additionally there are other War of 1812 pension files on Ancestry at https://www.ancestry.com/search/collections/4281/
Best of luck with your research.