Washington. March 9.- There is quite a contest going on among the house Demócrata over the nomination l'or ker in the Democratie caueus. because the position gives the successful man the leadership of the minoriiy. a place on the eommittee on rules and, possibly, the ways and means eommittee. There is now a three-cornered fight for the pinte. McMillin and Richardson of Tennessee. and Bailey of Texas, being the candidates.