FIG. 1 is an enlarged front side perspective view of a milking claw for goats and sheep showing our new design; FIG. 2 is a front elevational view thereof; FIG. 3 is a perspective view of a rear side thereof; FIG. 4 is a rear elevational view thereof; FIG. 5 is a left side elevational view thereof; and, FIG. 6 is an enlarged right side perspective view thereof.