She signed it and sent the money to her daughter.

Literal

She [topic-は] signing that money [object-を] daughter [to-に] sent.

署名する (to sign, to put one's signature) is a formal compound — more elevated than the casual サインする. The て-form chains the two actions in sequence: first she signed, then she sent. その金 (that money) refers to a specific sum already known from context. 娘に送った uses に to mark the recipient of the sending.