What is value of a 1910 Singer sewing machine?

The value is truly very little unless it is in top shape and complete and in working condition. If so the value will depend upon the buyers desire for it not your perceived value. The task before you is to ensure it is complete and in working condition and that you have sought out the right buyer(s). If you are unsure of it's condition or unsure of how to locate a buyer I suggest you seek an antique dealer's opinion and allow them to sell it for a finder's fee.