The monogram is that of Oliver and Lucy Everett.
Oliver Everett (d. 1808) married Lucy Hill, daughter of Alexander S. Hill of Philadelphia in 1787. Everett was a graduate of Harvard College in 1779 and served as pastor of the New South Church in Boston from 1782 to 1792. Their son Edward Everett was president of Harvard College from 1846-1849, served as a United States Representative and Senator, and was Governor of Massachusetts from 1836 to 1839.
A pair of tablespoons from the same set and engraved with the same monogram are in the collection of the Museum of Fine Arts, Boston and are illustrated in Kathryn Buhler, American Silver 1655-1825 in the Museum of Fine Arts Boston, 1972, vol. 2., no. 382, p. 432. Another matching tablespoon is cited in Patricia Kane, Colonial Massachusetts Silversmiths and Jewelers, 1998, p. 831.