Suggest you run a search on Vmcg and you will get plenty of stories ..
Basics ..
(a) Vmcg determined for nil wind under current standards
(b) wind from the side with the failure is destabilising and makes things worse. Typically the AFM Vmcg will increase by 0.5 to something in excess of 1.0 kt/kt of crosswind depending on the particular aircraft
(c) typically only really a concern for very light ferries or positioning flights where the takeoff might be predicated on minimum speed schedules (ie V1 min)
As an aside (and I presume that your No 1 failure means LH outer) the yawing moment is not so much due to a change in drag (although that may be a component) but due to the spanwise thrust asymmetry considering LH and RH sets of engines.
Your comments on wind are both correct .. for a No 1 failure, a left crosswind causes the situation to be more critical while a right crosswind improves the situation ..