We demonstrate parametric generation of a new coherent field with a polarization orthogonal to the signal field via an all-resonant four-wave mixing process in a double-ladder system. We show that the generation of the coherent field is an efficient resonantly enhanced process that can be realized with a fairly dilute medium and relatively weak drive fields. The large parameter domain that exists in this system provides good control for both the weak probe and the generated field. Potential applications in optical communication are outlined.