I like it, but I have no clue! What makes you identify it as American?
"Much that once was, is lost. For none now live who remember it."
I bought them in a batch of about 40 US unit badges. The screw in backing nuts are the same as all the other identified US unit badges, and the base of the nuts have English on them. Now, I realise that COULD also mean this one particular badge is British, Australian, Canadian, New Zealand or South African, or even Indian
It is American. I have seen it before, just cannot bring it to mind....
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It's the state military crest for Indiana as used by the regiments and separate battalions of the Indiana Army National Guard: ("From a wreath of colors, a demi-lion rampant Argent, holding in dexter paw a laurel branch Vert")
See, for example:
TIOH - Heraldry - Indiana State Area Command
TIOH - Heraldry - 138 Finance Battalion
I was browsing that site myself, but balked at going through all 45 Finance sub-units. Surely you haven't committed all those to memory, or did you persevere where I did not?
I found it via a Google image search, trying several combiniations of descriptive terms for the emblem until I came up with an image that matched. (I think the search term combination that finally did it was "distinctive unit insignia lion laurel" or something similiar. After that, it was easy.)
Here are two more examples of the crest as used in the coats-of-arms of Indiana National Guard units:
TIOH - Heraldry - 151 Infantry Regiment
TIOH - Heraldry - 150 Field Artillery Regiment