Jo,
I have not found records that says Lafayette served in all of those companies. I only found records for Camp of Instruction, Talladega. Found him in that company at both NPS and Fold3.
There is a group of miscellaneous images that the title includes 3 or 4 companies. But in the records, Lafayette Bice only appears in the Camp of Instruction. He did not have cards for the other companies. Same with the other soldiers in that group. I found they had a card (or cards) in one company, but not all the others.
In that group of images, I found Lafaytte Bice, W Bice and G Bice in Camp of Instruction. I did not see any of them listed in the other companies in that group.
I think its incorrect to assume each soldier in that cluster of images served in all of the companies named for that cluster. I think it was just a hodge pot of misc. images that did not fit anywhere else, so someone put them all together in a group and called it the 3 or 4 companies names.
I say 3 or 4 because I am still trying to figure out if Talldega Guards was the same company as Guards at Camp of Instruction, Talladega.