ASSISTANT ADJUTANT-GENERAL'S OFFICE. DETROIT, April 13, 1819. (DEPARTMENT ORDER.) The season having now arrived when the lakes may be navigated with safety, a detachment of the 5th regiment, to consist of Major Marston's and Captain Fowle's companies, under the command of Major Muhlenburg, will proceed to Green Bay. Surgeon's mate R. M. Byrne, of the 5th regiment, will accompany the detachment. The assistant deputy quartermaster-general will furnish the necessary transport, and will send by the same opportunity two hundred barrels of provisions, which he will draw from the contractor at this post. The provisions must be examined and inspected, and properly put up for transportation. Colonel Leavenworth will, without delay, prepare his regiment to move to the posts on the Mississippi, agreeably to the Division order of the 10th of February. The assistant deputy quartermaster-general will furnish the necessary transportation, to be ready by the first of May next. The Colonel will make requisition for such stores, ammunition, tools, and implements as may be required, and he be able to take with him on the expedition. Particular instructions will be given to the Colonel, explaining the objects of his expedition. Mr. Melvin Dorr is appointed Inspector of Provisions, and he will inspect all provisions intended for the use of the army, before they are received and issued. Lieutenant Brooks, of the 3d regiment will forward, by the first detachment, such recruits as he has for the companies of the 3d regiment at Mackinac. By order of MAJOR-GENERAL MACOMB. (Signed) CHESTER ROOT, _A. D. company, and Actg. Assist. Adjt.-General_. NARRATIVE OF THE EXPEDITION. NARRATIVE OF THE EXPEDITION. CHAPTER I. Departure--Considerations on visiting the northern summits early in the season--Cross the Highlands of the Hudson--Incidents of the journey from Albany to Buffalo--Visit Niagara Falls--Their grandeur the effect of magnitude--Embark on board the steamer Walk-in-the-Water--Passage up Lake Erie--Reach Detroit.