The noise characteristics of cross-phase modulation instability visible light produced in high-birefringence fibres have been investigated. Noise measurements were made on single sidebands, and on the intensity difference between upshifted and downshifted sidebands using single pass and fibre-laser configurations. The intensity difference noise for the single pass configuration was reduced by more than 25 dB below the single sideband noise, which was typically 35 dB above shot noise. Under certain conditions the intensity difference noise of the modulation instability laser sidebands could be reduced to the shot noise level, while the single sideband noise from the modulation instability laser could be reduced to 2 dB above shot noise. Raman gain on the low frequency sideband and attenuation in the fibre limited the attainable noise reduction.