Argyrotheca aequicostata Cooper, 1979 † (original description)
Argyrotheca anomala Cooper, 1979 (non Cooper, 1971) † (original description)
Argyrotheca bermudezi Cooper, 1979 † (original description)
Argyrotheca clevei (Davidson, 1874) † (basis of record)
Argyrotheca cyrtiniformis Cooper, 1979 † (original description)
Argyrotheca inconstans Cooper, 1979 † (original description)
Argyrotheca intercalata Cooper, 1979 † (original description)
Argyrotheca magnicosta Cooper, 1979 † (original description)
Argyrotheca peculiaris Cooper, 1979 † (original description)
Argyrotheca plana Cooper, 1979 † (original description)
Argyrotheca serrata Cooper, 1979 † (original description)
Argyrotheca sublamellosa Cooper, 1979 † (original description)
Cistellarcula dubia Cooper, 1979 † (original description)
Cruralina Smirnova, 1966 † (basis of record)
Cruralina cubensis Cooper, 1979 † (original description)
Dyscritothyris Cooper, 1979 † (original description)
Dyscritothyris cubensis Cooper, 1979 † (original description)
Gryphus carneoides (Guppy, 1866) † (basis of record)
Gryphus cookei Cooper, 1979 † (original description)
Gryphus parvus Cooper, 1979 † (original description)
Gryphus stantoni (Maury, 1912) † (basis of record)
Gryphus vaughani (Cooke, 1919) † (basis of record)
Hercothyrididae Cooper, 1979 † (original description)
Hercothyris Cooper, 1979 † (original description)
Hercothyris borroi Cooper, 1979 † (original description)
Hercothyris semiradiata Cooper, 1979 † (original description)
Lacazella caribbeanensis Cooper, 1977 (additional source)
Stenosarina cuneata Cooper, 1979 † (original description)
Terebratulina palmeri Cooper, 1979 † (original description)
Tichosina foresti Cooper, 1979 † (original description)
Tichosina guppyi Cooper, 1979 † (original description)
Tichosina insolita Cooper, 1979 † (original description)
Tichosina lecta (Guppy, 1866) † (new combination reference)
Tichosina trinitatensis (Guppy, 1866) † (new combination reference)