I claim the ornamental design for a vehicle steering damper bracket, as shown and described.
FIG. 1 of the drawings is a perspective view showing the front, top, and right side of a vehicle steering damper bracket embodying the design of my invention;
FIG. 2 is a front view;
FIG. 3 is a top view;
FIG. 4 is a right side view;
FIG. 5 is a left side view;
FIG. 6 is a back view;
FIG. 7 is a bottom view; and,
FIG. 8 is a reduced front environmental view of the vehicle steering damper bracket. The broken lines are for illustrative purposes and forms no part of the claimed design.