George,

I would think this "has" to be the May 10th, 1864 engagement. Halfway House must be an alternate name for Chester Station.

From http://www.mycivilwar.com/battles/1864s.htm#051064

May 10, 1864 in Chesterfield County, Virginia - On May 10, elements of Maj. Gen. Robert Ransom's division conducted a reconnaissance-in-force against a portion of maj. Gen. Butler's army that was destroying the railroad at Chester Station.

The Confederates attacked near the Winfree House, and the Federals retired to their Bermuda Hundred lines. This was part of the Bermuda Hundred Campaign

Jim