There was no sword prescribed in the uniform regulations for chaplains, so they were very much on their own discretion. Like other officers, they would need to purchase their arms privately. Any of the thin-bladed militia officer swords would be appropriate. Chaplain Gordon Winslow of the 5th NY is pictured wearing a sword much like the one described. I wouldn´t rule out an 1860 saber, or an 1858 foot officer sword, but they are fighting weapons that a chaplain would fine to really get in the way more than act as a badge of rank. (When I´ve portrayed a chaplain, I wear a Masonic Templar sword of the period.)