Faucet Handle Base

FIGS. 1 and 2 are front perspective views of a faucet handle base showing my new design;

FIG. 3 is a front elevational view thereof;

FIG. 4 is a left side view thereof;

FIG. 5 is a top plan view thereof;

FIG. 6 is a bottom view thereof;

FIG. 7 is a right side thereof; and,

FIG. 8 is a rear view thereof.

The broken lines are included for the purpose of illustrating portions of the faucet handle base and form no part of the claimed design.