What model is this?

You can replace those with either one-piece grips like the ones you took off, or two-piece grips held on with a center screw.
 
I did an image search and the NRA branded grips all seemed to be on Cattleman model (AKA Model P). Uberti seems to be OOS on most factory replacement grip styles right now: https://www.shopuberti.com/grips.html?Per_Page=-1

Here's some options at gungrip.com: https://gungrip.com/uberti-revolver-grips.aspx

If you want to walk on the wild side, there are a plethora of options available through eBay:
https://www.ebay.com/sch/i.html?_fr...70.l1313&_nkw=uberti+cattleman+grips&_sacat=0

A list/discussion of Uberti production date codes can be found here: https://thefiringline.com/forums/showthread.php?t=548563

You'll probably need to do some work if you want a close fit -- that's the norm with SAA grips.
 
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