HEADQUARTERS DEPARTMENT WESTERN VA., TOMPKINS' FARM, Oct. 29, 1861.

His Excellency W. Dennison, Governor of Ohio:

SIR: The sympathies of the people of Ohio and Indiana have been deeply excited by accounts of the destitution and suffering of our troops in this Department. Moved by these sympathies, they have been making laudable exertions to procure the means of supplying our wants and alleviating our distress. Not only so, they have appointed committees to trace through popular rumor and exaggeration the true causes of our difficulty. Observing that committees have been appointed for that purpose by the citizens of the State, I have thought proper to address you a note which may assist them in their labors and possibly aid them in giving proper direction to the charities tendered to the suffering defenders of the Republic. As to the causes of want of clothing, they are chiefly due: first, to the fact that no troops have been sent to this Department who have not been called suddenly here to meet pressing emergencies, before they had been fully equipped. Second, after arriving here they have been compelled to scatter over a mountainous and comparatively wilderness country, having a frontier of near three hundred miles, and a breadth of over one hundred and fifty miles, intersected by a few narrow roads, and inhabited by a timid or lukewarm population, alternately domineered over by secession violence or ruled by disaflection.

Over these narrow mountainous roads our troops have been obliged to march from one point to another as they were threatened; carrying only the most absolate necessaries, in order not to endanger their safety by cumbrous wagon trains.

The clothing that began to arrive from the East early in September, for want of transportation, and on account of the uncertainty of the results of movements towards the rebels, could not be permitted to follow our troops in the march from the railroad southward, nor, except cautiously, to Cheat Mountain, while there was doubt of the ability of our troops to sustain themselves against the fearful odds reported to exist against them. When the battle of Carnifax and the repulse of the rebels at Cheat Mountain had settled the question of safety, orders were immediately dispatched to send forward clothing with the greatest possible dispatch.