I know they did have a gun that was called the Greene Rifle that was technically bolt action and was barely a rifle. I was wondering when real bolt actions were added to the US and fully phased out muskets and rifled muskets.
The Greene is literally one of the most interesting gun designs ever! But the us bought only 900. These are a bit more broad than your question but if point you to these links for an answer:
https://www.reddit.com/r/AskHistorians/comments/37pyoz/friday_freeforall_may_29_2015/crpeaam/