These were popular in the 1860s:
Annie Laurie, Annie of the Vale, Aunt Jemima's Plaster, Aura Lee,
Bonny Jean, Hard Times Come Again No More (Foster), I'll Hang My Harp on the willow Tree, Irish Immigrants Lament, Listen to the Mockingbird, Lorena, Miss Lucy Long, Near the Lake Where Drooped the Willow (Long Time Ago), Old Dan Tucker, Pretty Quadroon, Raging Canal, Villikins and Dinah, Yellow Rose of Texas, Whiskey in the Jar (not Methodists?).

METHODIST Hymns: Wesley's Collection of Hymns (1876 edition); those before # 553 are the older ones from before the 1876 Supplement)- on line at Methodist hymns