1. A fixture for supporting a traverse rod having an end adapter including an upstanding substantially rectangular coupler with a transversely extending tab at its outer end and usable in conjunction with a bracket fixed to and extending forwardly from a supporting wall or the like, said fixture comprising: a substantially planar base adapted to be fixed to the forwardly extending portion of said bracket substantially in a vertically and forwardly extending plane transverse to the length dimension of the traverse rod to be carried thereby; a forward wall extending transversely from said base toward said traverse rod in a substantially vertical plane; an intermediate wall extending from said base and rearwardly spaced substantially parallel to said forward wall, one of said forward and intermediate walls being provided with a stepped portion remote from said base and displaced toward the other of said walls for receiving said tab therebehind to prevent axial movement of said traverse rod away from said fixture; substantially horizontal baffle means interconnecting said base and central portions of said walls for defining mirror imaged, substantially identical channels opening toward said traverse rod and bounded by said walls and said base, the upper of said channels opening upwardly and the lower of said channels opening downwardly whereby said coupler is receivable in said upper channel for supporting said end adapter and traverse rod on said fixture.

4. Apparatus for supporting the end of a traverse rod, comprising in combination: an end adapter fixed to the end of a traverse rod and including a substantially rectangular coupler spaced rearwardly therefrom, the outer end of the coupler having a rearwardly extending tab; a bracket including a flange mountable on a wall or the like and an arm extending forwardly from said flange; a fixture for supporting said end adapter on said bracket, said fixture including a substantially planar base securable in a substantially vertical plane to the inward face of said bracket arm, spaced substantially parallel forward and intermediate walls extending in substantially vertical planes transversely from said base toward said traverse rod, a substantially horizontal baffle connecting the opposed central portion of said forward and intermediate walls and extending transversely from said base, said baffle and wall defining opposed upwardly and downwardly opening channels, each said channel being closed at its inner end by said base, the outer end of each the channel opening toward the traverse rod, said coupler being receivable in said upwardly opening channel, said intermediate wall having a portion along its outer edge stepped toward the forward wall for receiving said tabs therebehind so as to prevent movement of said rod end adapter longitudinally of said channel; whereby said rod is fixedly supportable on said brackets by reason of longitudinally fixed engagement of said end adapter with respect to said fixture, said bracket and fixture being rotatable through 180* about the length axis of said bracket arm for supporting a corresponding, mirror imaged end adapter at the other end of said rod.