FIG. 1 provides a perspective view of the towing member for a piece of baggage.

FIG. 2 provides a front view of the towing member for a piece of baggage.

FIG. 3 provides a back view of the towing member for a piece of baggage.

FIG. 4 provides a top view of the towing member for a piece of baggage.

FIG. 5 provides a bottom view of the towing member for a piece of baggage.

FIG. 6 provides a left side view of the towing member for a piece of baggage; and,

FIG. 7 provides a right side view of the towing member for a piece of baggage.

The broken line showing the handle is for illustrative purposes only and forms no part of the claimed design.