On October 9th, 1862, J.E.B Stuart, and his soldiers, stopped off at the Bower, in West Virginia, and serenaded a group of young women with banjos, fiddles, bones and a chorus.
What was the Bower? A mansion built by Adam Stephen Dandridge, grandson of Revolutionary War Major General Adam Stephen and cousin of Martha Washington.
Who owned it? Adam Stephen Dandridge II owned the Bower at the time of Stuart's visit.
What town was the Bower located? Leetown VA (now WV).
Three miles west, on Opequon Creek, lived General Adam Stephen, 1754–1772. Original tract, with hunting lodge, was bought in 1750. (A historical marker located near Kearneysville in Jefferson County, West Virginia.)
Was a mansion nicknamed "Liberty Hall" owned by Stephan Dandridge in Charlestown although I believe this event happened on the 8th not the 9th
Edit - You're right that it was a mansion, so I'll give you credit for a correct answer, though I am unable to find any source confirming that it was nicknamed Liberty Hall.
1. The Bower is an 1806 Fedreal Style building in Jefferson County West Virginia where JEB Stuart set up a headquarters from September 28, 1862, to October 10, 1862
2. Adam Stephen Dandridge II.
3. Leestown.
What was the Bower: a Federal style home and estate built in 1806. It was used as JEB Stuart's headquarters.
Who owned it: the Dandridge Family (related to Martha Washington) - at the time of the the question it was owned by Adam Stephen Dandridge II.
What town: Leetown, West Virginia http://www.wvculture.org/shpo/nr/pdf/jefferson/82004321.pdf
1. What was the Bower ? A 1806 Federal style home (during the Civil War). After a fire in 1892 it was remodeled with Gothic Revival features. It was added to the National Register of Historic Places April 15, 1982.
2. Who owned it ? Adam Stephen Dandridge II
3. What town was the Bower located? The nearest city to the Bower is Leetown, located in Jefferson County, West Virginia.
1. A plantation
2. At the time of 1862, Adam Stephen Dandridge II owned the Bower.
3. Leetown/Martinsburg, West Virginia in Jefferson County. Source 1 Source 2 Source 3
The 316 acre Farm Estate Brick Building of the Dandridge Family used by Stuart as winter quarters
Adam Stephen Dandridge
located in a rural, agricultural section of Jefferson Cty., W.V. the nearest city is Leestown
source: http://www.wvculture.org/shpo/nr/pdf/jefferson/82004321.pdf