Andy, I gave up trying to follow the H-60`s who was on what but yes there split accross various ships, weather or not they shift them around i couldn't answer that one!
OK, thanks. In that case you can add 168113 AB-704, which is (was?) also on USS Farragut.
Given that it wasn't noted on the Truman, it probably still is (as is AB-710).
The USS Donald Cook (DDG 75) is currently berthed in Haifa, Israel, but no-one has been up to check which SH-60 if any is embarked (should be one). One can't be everywhere!