The theory developed in Part I of this series is applied to the general case of a system consisting of colourfree quark triplets, whose quantum numbers are chosen as collective trifermion indices. The appropiate mapping technique to be used here is the baryon mapping. It is demonstrated that the original multiquark states can be exactly represented by states of colourfree ideal baryons. Besides, collective extended images are derived for a class of fermionic operators leaving the collective fermion space invariant.