I have always been a history buff but none of the accounts I've read go into exact detail when it comes to outfitting based on rank. the only genuine photo I've been able to find of a civil war era general posing with a sword is of Robert E lee and his is clearly an infantry sword. however with the south being, primarily self outfitted, or outfitted based on donations, I can't speak for whether union officers were given different swords based on rank.
some officers were awarded swords and some of them may have chosen the ceremonial sword instead of the issued weapon but that's another can of worms all together.
ignore my complete lack of capitalization. I still have no problem correcting your grammar.
I never said half the stuff people said I did-Albert Einstein
You can't believe everything you read on the internet-Benjamin Franklin