Hi Lori --
Yes. That's a nice one. Looks like zero wear, plus a few bag marks from striking other coins in a bag of uncirculated coins.
Sending it off to PCGS, ICG, NGC, ANACS costs $50 to $100 by the time you pay for insured shipping, so your question is whether or not third party grading is worthwhile.
With third party grading you get: (1) authentication, (2) an accurate grade, and (3) hermetically sealed encapsulation. Authentication is not a problem with this coin, but it is with other coins that are subject to counterfeiting. Hermetic seals are valuable. They preserve the coin, even in caustic environments. But the real question is the grade.
Checking the PCGS price guide:
a 21 Morgan catalogs for $32 in AU55, and rises to $65 in MS64 and $135 in MS65. Before going further, I like to check catalog values against actual auction sales on eBay.
NGC MS64: $68
NGC MS65: $169
So the catalog values are good.
For the retail price to rise over the cost of slabbing, your coin would have to reach MS65, and it just doesn't do that.
Ignoring the advantage of hermetic encapsulation (do you really want to do this?), the answer is "No, Not worth slabbing."