The Illinois troops (now voters) are beginning to talk about the Presidency. Mr. Lincoln is by far the strongest man with the army, and no combination could be made which would impair his strength with this army unless, perhaps, Grant's candidacy would. The people of Tennessee would now vote for Lincoln, it is thought by many. Andy Johnson is understood to be a Presidential aspirant by most people in this state. He is not as popular as I once thought he was, though if he will exert himself to do so he can be Governor, or Senator, when the state is reorganized. He is understood to favor emancipation, and the people are prepared for it, but I fear personal questions will complicate the matter. The truth is all these Southern politicians are behind the times sadly. There is nothing practical about them. Now, when the whole social and political fabric is broken up, new foundations might be laid for institutions which would in their effects within twenty years compensate the State for all its losses, heavy as they are. But not much will be done, I fear, because the politicians don't seem to know what is required. One fourth of the people are destitute, and yet the leaders have not humanity and energy enough to induce them to organize for mutual assistance. There are farms enough in middle Tennessee deserted by their rebel owners to give temporary homes to thousands, and yet no one will take the responsibility of putting them in possession, but the leaders quietly suffer the poor to wander homeless all over the country. Colonel Fred Hecker writes from Lookout Valley, Tennessee, December 21: