[KyleGoetz]

That's "transliteration": Writing something with one writing system in another. For example, if you ask for the "translation" of 東京 you'd get "east capital," but the transliteration is "Toukyou" or "Tōkyō."

Of the remaining ones,

養盛園—no idea
本津翠星園—no idea
出上吉洸園—Ideuekikkouen
神高松寿園—Kandakashoujuen
神高福松園—Kandakafujushouen
㈱山白八松園—Yamashirohasshouen
松田清松園—Matsudaseishouen
山下昭和園—Yamashitashouwaen
尾路旭松園—not sure, but I think Orokyokushouen

Most of these you can google and get the pronunciation in about five seconds.