Tropidocoryphe bassei was named by
Van Viersen et al. (2009) [= Tropidocoryphe Barroisi (MAILLIEUX) – RICHTER 1914, p. 86, fig. 1.
= Tropidocoryphe Barroisi MAILLIEUX 1904 (sic) RICHTER & RICHTER 1919, pp. 12, 26-31, fig. 2 [only material from Gees].
= Tropidocoryphe barroisi (MAILLIEUX) – RICHTER & RICHTER 1956, pl. 1, figs 3, 4.
= T. barroisi (MAILLIEUX) – RICHTER, RICHTER & STRUVE in MOORE 1959, pp. O397, O398 fig. 302-4a.
= Tropidocoryphe barroisi MAILLIEUX 1904 (sic) – KOWALSKI 1989, pp. 272-275, figs 1-5.
= Tropidocoryphe (Tropidocoryphe) barroisi (MAILLIEUX, 1904) – BASSE 2002, p. 100 [only material from Gees].
= Tropidocoryphe sp. n. G – BASSE 2002, pl. 27, figs. 552-556.
= Tropidocoryphe sp. n. G – BASSE & MÜLLER 2004, pl. 53, fig. 694.
= Tropidocoryphe sp. n. G – BASSE 2006, pl. 1, figs 18-20. — = Tropidocoryphe barroisi VON MAILLEUX, 1904 CHATTERTON et al., p. 47.
= Tropidocoryphe barroisi MAILLIEUX RÜCKERT & KLEVER 2007, pp. 78, 79, unnumb. figs.]. Its type specimen is SMF 58518, an exoskeleton (complete specimen), and it is a 3D body fossil. Its type locality is
Just west of Gees, which is in an Eifelian marine marl in the Ahrdorf Formation of Germany.