Tibby \t(ib)-by\ as a girl's name is a variant of Tiberia (Latin), and the meaning of Tibby is "the river Tiber".
The baby name Tibby sounds like Tabby, Debby, Tabbi, Tabbey, Tibbie, Toby, Tobey and Thoby. Other similar baby names are Libby, Abby, Bobby, Tiny, Libbi, Libbey, Fiby, Liby, Tilly, Robby and Tiffy.