The species Anolis sagrei is listed with the common name "Nelson's anole," however this common name belongs to Anolis nelsoni. Anolis sagrei's common names, at least where I am from, are "brown anole" and "Cuban anole."
link: https://www.onezoom.org/life/@Anolis_sagrei=970153?otthome=%40%3D1028829#x918,y570,w0.6949.