A couple of military buttons. Anyone know year and/or use?

[cudamark]

Here's a couple of buttons I found at an old house site. The one on the left is backmarked Cumner, Jones & Co. Boston. The one on the right is from N.S. Meyer Inc. N.Y.C. They're both 22mm (or 7/8" for us old geezers!) in diameter. Any info appreciated.

 

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[DCMatt]

The anchor "Meyer" button is 1890-1925.

Cumner Jones button is 1890 - 1950.

 

[NOLA_Ken]

The Great Seal Army button will be no earlier than 1902, The Navy button with the right facing eagle will be pre 1941