It seems Wadsworth was not too enamored of Doubleday on July 1:
Received orders from Doubleday through an aide to move our men over the crest of the hill behind us. I ordered an about face and marched back about four rods when Gen. Wadsworth rode up and asked why I was going back. (I told him that I was ordered to.) He asked where Doubleday was, I pointed to the grove [near the Seminary] in the rear. Speaking to an aide he said, "Give my compliments to Gen. Doubleday and tell him he can't see down there what is going on over here." [Biddle Family Papers, Maj. Alexander Biddle, 121st Pennsylvania]
Likewise, Hancock, later in the afternoon:
Hancock said, "General, move a brigade to the hill [Culp's] across the road on the right." Doubleday replied, "But, General, I have no brigade." Hancock responded, "Then take the first thousand men here. Never mind where they belong." [Lt. Sidney G. Cooke, 147th New York, War Talks in Kansas]
General Doubleday sent me to get some entrenching tools, and as I was coming back with them, I met General Hancock, who told me to send them back. [War Diary and Letters of Stephen Minot Weld (aide to Reynolds), 1861-1865]
[Hancock] directed me to get a brigade from the 1st Corps to occupy the western slope of [Culp's] hill. I delivered my message to the corps commander [Doubleday], informing him of the emergency, who with the beaten demeanor that characterized some persons on that field protested that his men were worn out, cut up, had no ammunition, etc. … It seems General Hancock, who had followed behind me, overheard the conversation, for I heard him roar out, "General … I want you to understand that I am in command here, send every man you have." Wadsworth's division was sent … [Lt. Col. Charles H. Morgan, Hancock's inspector general and chief of staff, Bachelder Papers, 3:1351-1352]
Even some men of the First Corps grumbled:
Commenced laying down head-stones and iron fence [on Cemetery Hill]; this by order of Gen. O. O. Howard, which called out some sharp words from Gen. Doubleday. … Had the advice of Gen. D. been listened to we should not have held the hill thirty minutes. [Sgt. Charles E. Stubbs, 2nd Maine Battery, Bachelder Papers, 2:887]
While on this subject, an image taken last year in upstate New York: