While Mn1-xCoxWO4 phase diagram has been extensively studied, it is also well known that systems with strong magnetic frustration can have increased sensitivity to small perturbations and these perturbations can result in new states. With the increased research efforts into device applications over the last years, understanding these complex systems will hopefully lead to new and interesting advancements in basic research as well as applications. Revisiting the Mn1-xCoxWO4 phase diagram at x = 0.15, two multiferroic phase coexist and at this boundary on the phase diagram the conical spin extends to lower temperature, in addition to the a-c spiral spin structure forming below 7 K. On either side of the boundary we have a spiral spin structure for x < 0.15 and a conical spin for x > 0.15. To further explore the complex phase diagram of Mn1-xCoxWO4, high pressure dielectric and polarization measurements were conducted at key dopings: x = 0.05, 0.012, 0.0135, 0.15, and 0.17. Our results are also supported by high pressure neutron results conducted by J. Wang et. al. The effect of external pressure on the Mn1-xCoxWO4 system can be described as similar to Co doping for higher doping levels; however, for lower doping levels this may not be the case.