The Mennonite Hymnal: A Worship Book has a poem by Anne Bradstreet (17th century Massachusetts, Colonial America's first woman poet) set as a hymn, and Christian Worship (Northern Baptist/Disciples, 1941) sets a text by Vachel Lindsay. Not sure if these are "common" poems. I know I've heard Longfellow's "Midnight Ride of Paul Revere" sung, have sung it myself years ago, don't quite recall the tune.

Haruo