What you can try to filter the output for the word "running" or execute myDaemon start to start the daemon. Otherwise, show the correct way to run the myDaemon script.
DAEMON="/etc/init.d/myDaemon"
case "$1" in
start)
if "$DAEMON" status | grep -q "running"; then
echo "Service already running"
else
"$DAEMON" start
echo "Daemon has been started"
fi
;;
*)
echo "Usage: $0 {start}"
;;
esac