The first part of this work outlined the findings of trials investigating the Nd-YAG pulsed laser processing of a magnesium alumino-silicate matrix, SiC fibre glass-ceramic matrix composite. The tests studied the influence of the laser pulse parameters, principally upon the material removal rate. In Part II, associated trials are reported, in which the laser process variable’s influence upon the quality of the processed surface is the most significant criterion for assessment. The effect of different types and pressures of assist gas and point of focus have been examined by electron microscopy, and the maximum speed of cut for various thicknesses of the composite material has been identified. As with the work on the pulse parameters, the findings have been compared with those obtained in previous work on a borosilicate glass matrix, SiC fibre composite.