You are correct. It is 'Picacho'. I looked at my source again more carefully (Kerby). They use an odd italics font where the h's look like b's. The bottom right part of the 'h' curls back until it touches the lower left side almost at the bottom. There were no lower case b's that I could compare, but there were some h's in words like 'Fourth". Looked like 'Fortb'.
I feel like I'm Dan Rather and have been outed by a font.
To confuse things further, there was also a battle at Picacho, New Mexico, aka Cook's Canyon.
The Confederate units involved in the three Arizona actions I cited were the Arizona Volunteers, in one case under Sherod Hunter and in another under Jack Swilling. The Arizona Volunteers were formed in New Mexico, I think, not Texas. The Sherod Hunter SCV site is here: http://members.tripod.com/~azrebel/page6.html
I had one and possibly a second ancestor in Texas regiments known as the Arizona Brigade. These were Texas regiments formed in 1862-1863 after the return of troops from Sibley's New Mexico campaign. The information on the Sherod Hunter SCV site is not all that accurate about some of these Texas units, at least not what I've been able to find about them in the old newspapers. I've sent notes to the Sherod Hunter camp about it but have never gotten a reply.
Not even close ;^) Dan's "errors" were willful. You got crossed up by some odd font. I'm sure you have gone through printed texts that have been scanned into a word processor. They are full of similar problems.
Thanks for the link. The link that I gave, to the historical memorial location in Arizona, mentions in passing the incident of the Union "scouts" being captured. I believe that to be the skirmish I mentioned earlier.
Somewhere in the back of my mind is picture of a map which shows that the Confederate claim to the Nex Mexico Territory included only the south half of the present day state of New Mexico and Arizona. Does that ring a bell with you?