OK, I'm going to add something to the mix which may or may not give a different impression of certain people and events:
"Again, the General sent for me to join him at Jackson, Tennessee. His headquarters was a straggling old country house, part log, part frame, with a long, low piazza fronting south. As usual, many general officers with their staffs called to pay their respects to me. McPherson, Hurlbut, and, I think, Marsh, with one or two more, remained after the others left. General Rawlins, having just entered, McPherson said to me: 'Mrs Grant, we are very glad to have you with us again for more reasons than one. We want to reach the General's ear through you. In justice to General Grant - in fact, in justice to ourselves - General Rosecrans ought to be relieved.' I said: 'General Rawlins mentioned this to me this morning, and I have already spoken to the General about it.' He expressed great regret, saying, 'Rosecrans action was all wrong,' but that it was his (Grant's) right to find fault, and that he had not done so, knowing Rosecrans 'to be a brave and loyal soldier with the best of military training, and of this kind we have none to spare at present. Besides 'Rosy' is a fine fellow. He is a bit excited now but he will soon come around alright. Do not trouble yourself about me, my dear little wife,' and smiling, said: 'I can take care of myself.' This he said to me, but, of course, I did not repeat it all to these officers, not more than the first sentence: 'Rosecrans action was all wrong.'
The General had returned to his office at the east end of the piazza before this conversation. When he returned to me, I repeated it to him, including what they had told me about an address Rosecrans had published to his men which has given these officers great dissatisfaction. The General replied: 'Yes, I know. I cannot understand Rosecrans. I feel reluctant to part with him and hope that he will yet come out right.' We sat in silence for a while, both thinking of our late conversation. I liked Rosecrans too. He was handsome and brave, and I liked him also because the General did. So it was with regret I heard of his disaffection, but I could not sympathize with General Grant in his disbelief of this disloyalty to him, which General Rosecrans has since so glaringly proven.
The General rose silently and again went to his office. After an absence of fifteen or twenty minutes, he came back looking so happy, and smilingly holding up a slip of paper, he said: 'There is good news, good news. Rosecrans is promoted and ordered to take command of the Army of the Cumberland. I feel so happy. It is a great compliment, and he leaves us feeling friendly in place of the other way, which I fear would have come, as he was going wrong and I would have had to relieve him. His promotion is a real pleasure to me. I could not bear to relieve him.'"
The Personal Memoirs of Julia Dent Grant (pg 104-5)