Acanthocinachyra Lévi, 1964 accepted as Acanthotetilla Burton, 1959 (basis of record)
Acanthotetilla Burton, 1959 (basis of record)
Acanthotetilla hemisphaerica Burton, 1959 (basis of record)
Amphitethya Lendenfeld, 1907 (basis of record)
Amphitethya microsigma Lendenfeld, 1907 (basis of record)
Amphitethya stipitata (Carter, 1886) (basis of record)
Casula casula (Carter, 1871) accepted as Tetilla casula (Carter, 1871) (basis of record)
Chrotella simplex Sollas, 1886 accepted as Tetilla simplex (Sollas, 1886) (basis of record)
Cinachyra Sollas, 1886 (additional source)
Cinachyra barbata Sollas, 1886 (basis of record)
Cinachyrella Wilson, 1925 (basis of record)
Cinachyrella globulosa (Gray, 1873) (basis of record)
Cinachyrella hemisphaerica (Gray, 1873) accepted as Pheronema hemisphaericum (Gray, 1873) (source of synonymy)
Craniella Schmidt, 1870 (basis of record)
Craniella cranium (Müller, 1776) (basis of record)
Craniella globosa (Baer, 1906) accepted as Craniella baeri Van Soest & Hooper, 2020 (basis of record)
Craniella stewarti (Lendenfeld, 1888) (basis of record)
Craniella tethyoides Schmidt, 1870 (basis of record)
Dactylella Gray, 1872 accepted as Tetilla Schmidt, 1868 (basis of record)
Ectyonilla Ferrer Hernández, 1914 accepted as Tetilla Schmidt, 1868 (basis of record)
Ectyonilla truncata (Topsent, 1890) accepted as Tetilla truncata Topsent, 1890 (basis of record)
Fangophilina Schmidt, 1880 (basis of record)
Fangophilina gilchristi (Kirkpatrick, 1902) (basis of record)
Fangophilina submersa Schmidt, 1880 (basis of record)
Kaira Laubenfels, 1936 accepted as Tetilla Schmidt, 1868 (basis of record)
Kaira hebes (Lendenfeld, 1907) accepted as Tetilla hebes (Lendenfeld, 1907) (additional source)
Lophurella Gray, 1872 accepted as Porifera incertae sedis (basis of record)
Lophurella lophura Gray, 1872 accepted as Craniella polyura (Schmidt, 1870) (taxonomy source)
Paratetilla Dendy, 1905 (basis of record)
Paratetilla bacca (Selenka, 1867) (basis of record)
Psetalia Gray, 1873 accepted as Cinachyrella Wilson, 1925 (basis of record)
Psetalia globulosa Gray, 1873 accepted as Cinachyrella globulosa (Gray, 1873) (source of synonymy)
Raphidotethya Burton, 1934 accepted as Cinachyrella Wilson, 1925 (basis of record)
Spiretta Lendenfeld, 1888 accepted as Cinachyrella Wilson, 1925 (source of synonymy)
Spiretta raphidiophora Lendenfeld, 1888 accepted as Cinachyrella australiensis (Carter, 1886) (subsequent type designation)
Spongocardium Kirkpatrick, 1902 accepted as Fangophilina Schmidt, 1880 (basis of record)
Spongocardium gilchristi Kirkpatrick, 1902 accepted as Fangophilina gilchristi (Kirkpatrick, 1902) (basis of record)
Tethya antarctica Carter, 1872 accepted as Cinachyra antarctica (Carter, 1872) (basis of record)
Tethya casula Carter, 1871 accepted as Tetilla casula (Carter, 1871) (basis of record)
Tethya dactyloidea Carter, 1869 accepted as Tetilla dactyloidea (Carter, 1869) (basis of record)
Tethya hebes Lendenfeld, 1907 accepted as Tetilla hebes (Lendenfeld, 1907) (source of synonymy)
Tethya merguiensis Carter, 1883 accepted as Paratetilla bacca (Selenka, 1867) (basis of record)
Tethyopsilla Lendenfeld, 1888 accepted as Craniella Schmidt, 1870 (basis of record)
Tethyopsilla stewarti Lendenfeld, 1888 accepted as Craniella stewarti (Lendenfeld, 1888) (basis of record)
Tetilla Schmidt, 1868 (additional source)
Tetilla arabica (Carter, 1869) accepted as Cinachyrella arabica (Carter, 1869) (basis of record)
Tetilla casula (Carter, 1871) (basis of record)
Tetilla euplocamos Schmidt, 1868 (basis of record)
Tetilla globosa (Carter, 1886) (basis of record)
Tetilla hebes (Lendenfeld, 1907) (basis of record)
Tetilla hirsuta Dendy, 1889 accepted as Cinachyrella hirsuta (Dendy, 1889) (subsequent type designation)
Tetilla raphidiophora (Lendenfeld, 1888) (basis of record)
Tetilla simplex (Sollas, 1886) (basis of record)
Tetillidae Sollas, 1886 (basis of record)
Trachya globosa Carter, 1886 accepted as Tetilla globosa (Carter, 1886) (basis of record)
Trachygellius Topsent, 1894 accepted as Tetilla Schmidt, 1868 (basis of record)
Uliczka Laubenfels, 1936 accepted as Cinachyrella Wilson, 1925 (basis of record)

Singapore for Psetalia globulosa Gray, 1873 

Paralectotype BMNH 1886.8.27.634, geounit Manning-Hawkesbury, identified as Spiretta raphidiophora Lendenfeld, 1888
Holotype BMNH 1908.9.24.66, geounit Exmouth to Broome, identified as Tethya hebes Lendenfeld, 1907
Paralectotype BMNH 1925.11.1.769, geounit South India and Sri Lanka, identified as Tetilla hirsuta Dendy, 1889
Paralectotype BMNH 1925.11.1769, geounit South India and Sri Lanka, identified as Cinachyrella hirsuta (Dendy, 1889)
Holotype DZMB 768, geounit Exmouth to Broome, identified as Tethya hebes Lendenfeld, 1907
Lectotype AM G9076, geounit Manning-Hawkesbury, identified as Spiretta raphidiophora Lendenfeld, 1888
Paralectotype MZS Po166, identified as Fangophilina submersa Schmidt, 1880

 Classification

 for Tethya hebes Lendenfeld, 1907

Only one specimen of T. hebes is known. It has a single lateral oscule and no apparent porocalices (as in a ... [details]