Smilax ovata var. buckleyi A.DC. (Smilax ovata, Pursh, 1814. Invalid due to Smilax ovata Duhamel, 1801.)
The genera name is the classical name for Bindweed. Then species is named after John Kunkel Small, 1869-1938, an American botanist, who found the plant. A large plant by Douglas Goldman, Plants.ces.ncsu.edu. The fruits by Travis MacClendon, Usf.edu.