Are either of these medals legit?

No.  Here's links with photos of original issue, US Mint struck, with rim #s originals.

 

 

So are they Studley? Or something else?

Look like what we generally call  "Studley".  Can't tell for sure, but if they're thicker than the original issue, probably so.    They also have been reribboned, since the job looks identical and done at the same time probably.   Value?   Maybe 20 bucks each on a good day on ebay. 

George Studley used Davison as a source for some of the material he sold. The strike of  those early campaigns  (the Civil War and China Boxer were the ones I have personal experience with) were very good but some of  the details were different than that on the first/original issues; yes, they were also thicker and the pins were very much like that of the US WWI Victory medal. What you have look to be as good as those Davison pendants - to be specific, a nice distinct strike - and a lot better than most you see for sale these days.  Unfortunately there have been several generations of these campaigns and unless they were in a labelled box those will never be traceable to a specific manufacturer. 

 

      You didn't mention that these are numbered: lucky you if they are not.  Mr. Studley was reputed to have been the one who stamped numbers on the edges of his campaign medal stock. The numbering was taller,  thinner, and shiny (read this as: "newly stamped") than official numbering: a true kiss of death.     Without this "add-on" you have pretty good fill-in examples.

 

.........

 

Jim T

Sadly, army one is numbered, the navy is not. 
 

I may be listing them for sale here.