The link below shows a poor quality version of the 22nd US uniform done by H. Charles McBarron for the Company. Didn't see one in the index for the 36th.
Organizational details and an officer rosters for the 22nd and 36th are in Francis B. Hietman, "Historical Register and Dictionary of the US Army" (Washington, GPO, 1903) V.1 pp. 120 and 133 respectively. This volume also has details on the service of the officers which can be used to assemble regimental service. Many of the high number US regiments did not see field service and were extremely understrength.
Other details are available in "Lossing's Pictorial Field Book of the War of 1812" available on line.
The 22nd had an interesting record that you can read about in any of the fine books on 1812 on the Niagra frontier by Donald Graves (published by Robin Brass Studios).
Am working on a biography of the colorful colonel of the 22nd, Hugh Brady, for the Company journal. His service extended from the 1790's to the 1850's. The centerpiece of the article is a daguerreotype of the old boy from the American Memory Collection of the Library of Congress.
James B. Ronan II
To Join the Company of Military Historians click here