Not sure if anyone has mentioned them yet but Company I of the 8th Alabama Infantry Regiment was composed of mainly Irish immigrants that lived in the port city of Mobile, Alabama. The left flag is their later one which was said to be a "Stars and Bars" style flag that had an image of George Washington on it and the right is their first "Irish flag" from what I've read.
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The second one I have for you was one from Company B, "Montgomery Guards", 21st Alabama Infantry Regiment.
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These are modern reconstructions from accounts of the originals as neither of these are in the Alabama Department of Archives' collection of flags.