Measurements of cosmic-ray muon rates and energy deposition spectra in a one tonne liquid scintillator detector at 1070 metres vertical depth in the Boulby underground laboratory are discussed. In addition, the simulations used to model the detector are described. The results of the simulations are compared to the experimental data and conclusions given. The muon flux in the laboratory is found to be (4.09+/-0.15)x10^-8 /cm^2/s.