Please shut off your caps lock.
Hi, Bed. Your rifle wasn't made by Remington in .222 Rem Mag. First chambered in .222 Rem in 1959 and discontinued altogether in 1961. If your's is in .222 Rem Mag, it's a custom built rifle. The chambering will reduce its value somewhat due to the relative scarcity of ammo. Not impossible to find though.
Hard to put a value on any rifle without some indication of its condition. Especially a commercial hunting rifle that is that elderly. Little or no collector value either.