= Alansmia cocosensis (A.Rojas) A.Rojas; Actual. Biol. 34(97): 164 (2012)
= Alansmia esquiveliana (A.Rojas) A.Rojas; Actual. Biol. 34(97): 164 (2012) (fide Velázquez & Kessler 2013)
= Alansmia lobulata (A.Rojas) A.Rojas; Actual. Biol. 34(97): 165 (2012)
= Ctenopteris elastica (Bory ex Willd.) Copel.; Philipp. J. Sci. 84: 426 (1956)
= Ctenopteris mollissima (Fée) Copel.; Philipp. J. Sci. 84: 423 (1956)
= Grammitis cocosensis (A.Rojas) Christenh.; Global Fl. 1(4): 42 (2018)
= Grammitis elastica (Bory ex Willd.) Christenh.; Global Fl. 1(4): 43 (2018)
= Grammitis esquiveliana (A.Rojas) Christenh.; Global Fl. 1(4): 43 (2018)
= Grammitis lobulata (A.Rojas) Christenh.; Global Fl. 1(4): 45 (2018)
= Grammitis mollissima (Fée) Proctor; Rhodora 63: 35 (1961)
= Polypodium asplenifolium var. minus Mett.; Kuhn, Filic. Afr. 146 (1868)
= Polypodium cultratum var. elasticum (Bory ex Willd.) Baker; Syn.f., edn. 2: 327 (1874)
= Polypodium cultratum var. elasticum Jenman; (1810) (nom. illeg., non Polypodium elasticum Bory ex Willd.)
= Polypodium elasticum Bory ex Willd.; Sp. Pl. ed. 4, 5: 183 (1810)
= Polypodium flexile Fée; Mém. Foug. 6 (Icon. Esp. Nouv.): 9, t. 2, f. 3 (1853)
= Polypodium mollissimum Fée; Mém. Foug. 8 (Icon. Esp. Nouv.): 47, t. 12, f. 2 (1866)
= Polypodium suspensum var. mollissimum (Fée) Krug; Bot. Jahrb. Syst. 24: 127 (1897)
= Terpsichore cocosensis A.Rojas; Brenesia 45-46: 47 (1996)
= Terpsichore elastica (Bory ex Willd.) A.R.Sm.; Novon 5(1): 21 (1995)
= Terpsichore esquiveliana A.Rojas; Revista Biol. Trop. 49(2): 448 (2001) (fide Velázquez & Kessler 2013)
= Terpsichore lobulata A.Rojas; Mét. Ecol. Sist. 3(2): 14 (2008) (fide Velázquez & Kessler 2013)
= Terpsichore mollissima (Fée) A.R.Sm.; Novon 3(4): 487 (1993)
= Xiphopteris elastica (Bory ex Willd.) Alston; Bol. Soc. Broter., ser. 2, 30: 27 (1956)