Spencer Tucker, author of Brigadier General John D. Imboden: Confederate Commander in the Shenandoah, does not mention the skirmish.
The Official Record (Series 1 - Volume 19, Part II, pg. 154-155) contains LTC Quirk's report.
I am not sure which troops were involved. It could have been the 62nd Virginia Infantry (Mounted), which was forming in Hampshire county about that time, but the troops were probably as you say, Partisan Rangers.