1858
Catenipora parallela n. sp. — Schmidt, pp. 229
1871
Halysites parallela Fr. Schmidt — Fischer-Benzon, pp. 20, fig. 2:10
1901
Halysites parallela Fr. Schm. — Wiman, pp. 185, fig. 7:3-5
1955
Halysites parallelus Schmidt — Buehler, pp. 38
1957
Quepora parallela (Schmidt) — Hamada, pp. 425
1966
Eocatenipora parallela (Fr. Schmidt, 1858) — Klaamann, pp. 27-28, fig. 6:7-8