Non mopar hurst shifter ID help

Yes, If there is a part number it will be on one side near the bottom.
To remove the handle from the shifter I would first spray down the area where the handle mounts to the shifter with some penetrating oil.
To remove the handle you need to push a .010'"feeler gauge down the drivers side of the handle between the side of the handle and the sheet metal spring clip.
When you think you have bottomed out the feeler gauge, you then pull up on the handle while holding the feeler gage in position.
It will probably help if you mount the shifter in a vice while doing this.