The Civil War in Rhode Island

1st Rhode Island Infantry - 1284 men
1st Rhode Island Volunteer Cavalry Regiment - 2124 men
1st Rhode Island Light Artillery Regiment (Battery A, B, C, E, F, G, H) - 4377 men.
1st Rhode Island Light Artillery Regiment (Battery A)
1st Rhode Island Light Artillery Regiment (Battery B)
1st Rhode Island Light Artillery Regiment (Battery C)
1st Rhode Island Light Artillery Regiment (Battery D)
1st Rhode Island Light Artillery Regiment (Battery E)
1st Rhode Island Light Artillery Regiment (Battery F)
1st Rhode Island Light Artillery Regiment (Battery G)
1st Rhode Island Light Artillery Regiment (Battery H)
1st Rhode Island Heavy Artillery
2nd Rhode Island Infantry - 2986 men.
2nd Rhode Island Cavalry - 1004 men.
3rd Rhode Island Infantry - 5 men.
3rd Rhode Island Cavalry - 1625 men.
3rd Rhode Island Heavy Artillery Regiment - 2740 men.
4th Rhode Island Infantry - 1754 men.
5th Rhode Island Heavy Artillery Regiment - 1860 men.
7th Rhode Island Infantry - 1777 men.
7th Rhode Island Cavalry Squadron, New England Cavalry - 200 men.
9th Rhode Island Infantry - 915 men.
10th Rhode Island Infantry - 890 men.
10th Rhode Island Artillery
11th Rhode Island Infantry - 1314 men.
12th Rhode Island Infantry - 1342 men.
14th Rhode Island Heavy Artillery Regiment (Colored)
Hospital Guards - 131 men
Tompkins Battery, Rhode Island Light Artillery - 159 men.
Newport Artillery, Reynolds' Battery - This unit listed at Wikipedia, but no rosters found.