- Capnella incisura Claassen, 1924: 45.
Holotype; male; 72afd15e-224a-402b-bb82-0ed853c374e6; deposited at: Cornell University Insect Collection (CUIC); United States: New York
- Perla minima Barnston, 1848 (synonym of Capnella vivipara Claassen, 1924) in Frison, 1942: 265.
- Capnella incisura Claassen, 1924 (synonym of Perla minima Barnston, 1848) in Illies, 1966: 125.
- Allocapnia minima (Barnston, 1848) in Illies, 1966: 125.
- Allocapnia minima (Barnston, 1848) in Kimmins, 1970: 345.
- Allocapnia minima (Barnston, 1848) in Ross & Ricker, 1971: 38.
- Allocapnia minima (Barnston, 1848) in Zwick, 1973: 364.
- Allocapnia minima (Barnston, 1848) in Neves, 1978: 146.
- Allocapnia minima (Barnston, 1848) in Lager, Johnson, Williams & McCulloch, 1979: 111.
- Allocapnia minima (Barnston, 1848) in Grubbs, 2004: 865.