Carolyn -
A quick search through Silverstone turned up the following.
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Four C.S. Navy vessels captured in Virginia by Union forces 1862-1863:
Gunboat CSS Teaser captured, James River 04-Jul-1862, served USS Teaser.
Tug CSS John B. White surrendered, Hampton Roads 08-May-1862, served U.S. Army.
Transport steamer CSS Rondout captured, Rappahannock River 20-Apr-1862.
Sailing schooner CSS Beauregard captured and burned, Ragged Island 04-May-1862.
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Two U.S. Navy vessels captured by Confederate forces, served in C.S. Navy:
Gunboats USS Satellite and USS Reliance boarded and captured, mouth of Rappahannock 23-Aug-1863, served as CSS vessels.
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Unless I missed one, this is every government vessel taken. (Watch someone make me eat my words.) Probably many more civilian ships were captured.
Bruce