FIG. 1 is a front view of a towel hanger rack showing our new design;

FIG. 2 is a right side view thereof;

FIG. 3 is a left side view thereof;

FIG. 4 is a top view thereof;

FIG. 5 is a bottom view thereof; and,

FIG. 6 is a rear view thereof.

The broken line of the pedestal sink and the towel is included for the purpose of illustrating environment structure and forms not part of the claimed design.