Recovery of the serial number on the bottom of the grip frame depends largely on how the original number was removed. If the frame was ground/polished off and made it shorter you have a chance. If the frame was peened as with a pointed punch (think stippling) your odds are greatly reduced.
Check your state's laws concerning the removed serial number. My state has a statute that ANY device that had a serial number applied to it when it was first made, and later that serial number was removed, altered, obscured, etc., the item becomes contraband. Period. No serial number replacement. This rule applies to televisions, cars, firearms, anything with a factory applied serial number. Check your state laws concerning this topic, and watch your back.