Which preposition to use with kilpatrick

on Occurrences 1%

Stuart moved out on the right of the infantry, which marched directly toward Madison Court-House, and near the village of James City, directly west of Culpepper Court-House, drove in the cavalry and infantry outposts of General Kilpatrick on the main body beyond the village.

with Occurrences 1%

The spring campaign was preceded, in February, by two movements of the Federal forces: one the advance of General B.F. Butler up the Peninsula to the Chickahominy, where for a few hours he threatened Richmond, only to retire hastily when opposed by a few local troops; the other the expedition of General Kilpatrick with a body of cavalry, from the Rapidan toward Richmond, with the view of releasing the Federal prisoners there.

Which preposition to use with  kilpatrick