Since she's not alive, she has none. The other marionettes might be considered her sisters.
Tiger was the first Saber Doll to be created. She has been taking care of Faust since he was a kid. Although he treats the Dolls harshly, they all love him and are loyal to him, doing anything he orders them, and Tiger seems to be the one that loves him best. Tiger is also very fast, and uses electric whips in combat. As many people says, she is the equivalent to Lime (at least in the speed issue).