The ceiling and walls of the Low Background Facility at the Soudan Underground Laboratory are lined proportional tubes which form a 30 m x 17 m x 12 m muon tracker. The data acquisition records GPS-generated time stamps along with position information. The tracker is a refurbished version of the Soudan 2 proton-decay muon veto shield. It can now be used in conjunction with other experiments housed within its walls. Particularly interesting is the possible measurement of cavern muons coincident with high-energy neutron detections in the Neutron Multiplicity Meter (NMM), a 4-tonne gadolinium-loaded water Cherenkov neutron capture detector atop a 20-kilotonne lead target. Here we cover the ability of the shield and co-located detectors to achieve coincident timing resolutions of about 1 microsecond via GPS-synchronized absolute timing electronics. The usage of such technology for constraining muon-neutron correlations underground is discussed.