Question: Are Cynodon and Claytonia both species of plants?

Context paragraphs:
Cynodon: Cynodon is a genus of plants in the grass family.  It is native to warm temperate to tropical regions of the Old World, as well as being cultivated and naturalized in the New World and on many oceanic islands.

Claytonia: Claytonia (spring beauty) is a genus of 26 species of flowering plants formerly included in Portulacaceae but now classified in the family Montiaceae, primarily native to North America, with a few species extending south to Guatemala in Central America, and northwest to northeastern Asia.

Puccinia mariae-wilsoniae: Puccinia mariae-wilsoniae, commonly known as the spring beauty rust, is a species of rust fungus found in North America.  A plant pathogen, it grows on the leaves of the spring beauty flowering plants "Claytonia caroliniana" and "C. virginica".

Supporting paragraphs: Claytonia Cynodon
Answer: yes