If Your Little One Has An Old Soul, This Name Will Be A Perfect Fit. Conroy Is A Boys Name With Irish Roots, With A Meaning Of "wise Advisor Or Man." Conroy Might Also Come From The Irish Surname Ó Conaire, Which Can Mean "keeper Of The Hound" From The Term cú, Meaning "hound," Empowering Baby To Take Care Of The Natural World Around Them.