Not sure about the second button but your first one appears to have a W.H.Jones & Co./ superfine backmark.
William H. Jones, Waterbury. Ct 1835-40. Former partner of the Robinsons. Left Massachusetts in late 1834 & began making buttons in Waterbury c.1835-37. Being a two piece, your button probably dates to about 1840.
very good ID fyrffytr1 :clapping: the second button because of its one piece convex style i would suspect it being a bit older.