Irisha is of Slavic origin, derived from the Russian female given name Ириша, which is itself a diminutive form of the name Ирина (Irina). It is often associated with the Greek name Eirene, meaning 'peace'. The name Irisha gained popularity in Eastern Europe during the 20th century and has since been adopted by other cultures as well.
"From 1978 to 2006, the name Irisha was given to a total of 80 newborns, with the most popular years being 1988 and 1989, each having 7 births."