A picture of the back would aid in an identification but I am of the opinion that they are not real Navy buttons nor reproductions. I believe they are civilian blazer buttons from the 20th century. 80030 - Eagles - Waterbury Button
Since no one else has tried to help, I'll stick in my 2 cents.
The condition looks very good
The detail seems not too sharp, lower quality than I would expect to see.
The eagle just doesn't look right
Keep in mind I'm no button expert, but here are some to look at compare to.