Was the USS Saranac That Ship That Scared the Shenandoah?

In the last post I mentioned that the Shenandoah had a scare from the USS Saranac as it crossed the Atlantic Ocean for England.  I know that the Saranac was one of the ship's specifically searching for the Shenandoah.  However, I found no mention that this ship had continued into the Atlantic Ocean in its pursuit.

The Shenandoah had disarmed itself and surrendering to an American ship wasn't a good idea because they had captured and destroyed Union ships after the war was over, even though they didn't know it at the time.  They were considered pirates and it is never a good thing to be captured if you are a pirate.

I wonder if anyone knows for sure whether the stranger ship was the Saranac?

--Old B-R'er