IIRC, the early Remington varmint stocks were HS Precision, but had no name on them (contracted to Remington). Buttpads were glued on, foam cored, with a bedding block that supported just the action. The one I had, only had one sling swivel (an early VS model), and didn't have the hollowed out fore end that yours shows.
Shrug, I don't think anyone can say for sure what you have there, and I'm just guessing. I'd compare mine, but I pulled it off that action, dropped the action in a JAE chassis and gave it (the stock) to a neighbor needing one for a rifle he was putting together.
As a time reference, my rifle was a 700VS, purchased in '94 (yea for per diem, easy gun money when on active duty).