Likely a modern variant of Keira or Kerry
Keyry is a contemporary name with ambiguous roots, most likely functioning as a creative spelling of Keira (meaning 'dark-haired') or Kerry (referring to the Irish county). It has gained some usage within Spanish-speaking communities in the United States as a phonetic adaptation of these sounds. Because it is a modern invention, it lacks a singular historical etymology.
Less common today
Keyry isn't in the latest US Top 1000. It last peaked at #8,874 in 2003.
US births per 5-year period, 1990βpresent (SSA data).