The species was first described as
Notholaena parryi by
D. C. Eaton in 1875, from material collected near
St. George, Utah. The epithet presumable honors
Charles Christopher Parry, who collected it.
Karel Domin, who treated
Notholaena as a subgenus of
Cheilanthes, transferred the species to
Cheilanthes as
C. parryi in 1915. The development of molecular phylogenetic methods showed that the traditional circumscription of
Cheilanthes is polyphyletic.
Convergent evolution in arid environments is thought to be responsible for widespread homoplasy in the morphological characters traditionally used to classify it and the segregate genera that have sometimes been recognized. On the basis of molecular evidence, Amanda Grusz and
Michael D. Windham revived the genus
Myriopteris in 2013 for a group of species formerly placed in
Cheilanthes. One of these was
C. parryi, which thus became
Myriopteris parryi. In 2018,
Maarten J. M. Christenhusz transferred the species to
Hemionitis as
H. parryi, as part of a program to consolidate the cheilanthoid ferns into that genus. Members of the genus
Cheilanthes as historically defined (which includes
Myriopteris) are commonly known as "lip ferns" due to the lip-like (false) indusium formed by the leaf margins curling over the sori. The common name '''Parry's lip fern'
refers to the collector honored by the epithet. Lellinger, who referred to the species as N. parryi
, called it 'Parry's cloak fern'''. Based on plastid DNA sequence analysis,
Myriopteris parryi is part of the
lanosa clade in the
Myriopteris genus, with
Myriopteris rawsonii its closest analyzed relative. ==References==