Catholics have been a part of the United States since the Colonial Era. Remember, the Colony of Maryland was established as a Catholic Colony; a place for Catholic dissidents from England to freely celebrate their religion. There was one caveat, however... the Church wasn't allowed to own land in the empire that was Great Britain. This included her colonial holdings.
To skirt this regulation, many wealthy land owners would build a 'chapel' wing onto their estates and would take in a priest as a resident of the property. Masses for the community were then held in the chapel, allowing Catholics to attend mass. One such prominent family were the Carrolls.
Among their holdings was an estate in present day Howard County, Doughoregan Manor. During the Civil war, the manor served as a hub for munitions for Southern supporters. By 1931, the manor estate consisted of the mansion, overseer's house, horse stable, bank barn, 3 silos, corn house, 11 tenant houses, wash house, sheep house, coach house, brick barn and two barracks. Wikipedia states that it is closed to the public, as the Carrolls still own the property, but as a child from the 70's and 80's, I used to attend mass there which was usually conducted by a priest from nearby St. Louis Church, or a Franciscan Friar from a nearby Friary.
If the name Carroll sounds familiar, indeed the patriarch of the family (at that time) was none other than Charles Carroll of Carrolton, representative from Maryland and the only Catholic signer of the Declaration of Independence! He passed in 1832 at the age of 95, after having served as a Senator, and was instrumental in the establishment of the Baltimore and Ohio Railroad, having driven the Golden Spike for that pike. He was also the last surviving signator of our Nation's birth document.
This is important for Catholic reenactors in as much as the role of Maryland and her prominent Catholic families were well known throughout the church community. Remember, Catholics, even as late at the 1880's, were openly persecuted by a great many people. Many of the Protestant religions of that time openly preached against the Church and her members, and a number of newspaper accounts from the time of the Mexican American War derided the 'Mexican Papists' and called for a literal dismantling of their churches.
In short, yes, Catholics did serve in the Civil War on both sides. Some were immigrants while others were Native born, but either way, being a Catholic wasn't easy in the 1860's. I applaud you in bringing a bit of that history of faith into your impression, and wish you Benediximus!