I have known for some time that there was a rather abortive effort by the British to recruit a foreign legion from United States citizens/residents during the Crimean War and that it had gone rather less well than their effort to recruit Swiss, German & Italian Legions during the same conflict (as you might imagine, the United States government was less than keen to see Americans become Redcoats
yet again - this wasn't the 18th Century, you know! - and scotched the idea, in a court of law and the court of public opinion).
Only yesterday, however, did I stumble onto more a detailed description/depiction of one of these Foreign Legions (the Swiss) which got me a-thinking about what a 'British American Legion' might have looked like, had HM Government been able to smuggle enough recruits into Halifax to embody that corps (No, really, they couldn't actually
recruit volunteers on US soil due to the Foreign Enlistments Act ... but they
could get in touch with interested parties, pay their fare to Canada and then formally recruit them there).
You can read more about a British Foreign Legion of the Crimean War - HERE -
I suspect that the British would have adopted the same 'softly softly' approach to naming this particular corps that they did to recruiting in our own timeline (probably something like 'British North American Legion' or 'British Foreign Legion' rather than 'British American Legion'), but it's easy to see them using the green-faced red coats so typical of Loyalist regiments during the American War of Independence (including the
original American Legion, General Arnold's boys).
It's also possible that this Legion might have been bold enough to employ an eagle as part of their cap badge (given that German & Polish nationals living in the US were part of the targeted demographics for recruits, they might even have got away with it ... ); I'm assuming that, as with the Swiss Legion, the cap badge would consist of a regimental symbol (in this case an eagle), surrounded with a band bearing the regiment's name, with the crown above it and a light infantry horn below it.
On the other hand, if one wanted to be REALLY reckless, you could make that a
bald eagle
clutching an olive branch and a lightning bolt - but even the Eagle Squadron flyboys of our own history weren't THAT reckless (they drew the line at a mere empty-handed bald eagle).
May I please ask you chaps if this logic holds up outside the confines of my own imagination?