I claim, the ornamental design for a bottle brush handle, as shown and described.
FIG. 1 is a perspective view of a bottle brush handle showing my new design,
FIG. 2 is a side view of FIG. 1;
FIG. 3 is a top view of FIG. 1;
FIG. 4 is a bottom view of FIG. 1;
FIG. 5 is a front view of FIG. 1;
FIG. 6 is a back view of FIG. 1; and,
FIG. 7 is a perspective exploded view thereof.
The broken lines shown on the body of the handle in the figures and on the front surface of the detached end portion in FIG. 7 represent the bounds of the claim while the broken lines showing a brush head in FIG. 7 illustrate environmental structure of the handle that along with the broken-line boundaries form no part of the claimed design.