Passage 3.16.7
τὸ δὲ χωρίον τὸ ἐπονομαζόμενον Λιμναῖον Ὀρθίας ἱερόν ἐστιν Ἀρτέμιδος. τὸ ξόανον δὲ ἐκεῖνο εἶναι λέγουσιν ὅ ποτε καὶ Ὀρέστης καὶ Ἰφιγένεια ἐκ τῆς Ταυρικῆς ἐκκλέπτουσιν· ἐς δὲ τὴν σφετέραν Λακεδαιμόνιοι κομισθῆναί φασιν Ὀρέστου καὶ ἐνταῦθα βασιλεύοντος. καί μοι εἰκότα λέγειν μᾶλλόν τι δοκοῦσιν ἢ Ἀθηναῖοι. ποίῳ γὰρ δὴ λόγῳ κατέλιπεν ἂν ἐν Βραυρῶνι Ἰφιγένεια τὸ ἄγαλμα; ἢ πῶς, ἡνίκα Ἀθηναῖοι τὴν χώραν ἐκλιπεῖν παρεσκευάζοντο, οὐκ ἐσέθεντο καὶ τοῦτο ἐς τὰς ναῦς;
The place called Limnaion is sacred to Artemis Orthia. They say the wooden idol here is the very one that Orestes and Iphigenia once stole from Tauris. The Lacedaemonians claim it was brought to their land when Orestes was king here. To me their account seems more plausible than the Athenians'. For by what logic would Iphigenia have left the statue behind at Brauron? Or how, when the Athenians were readying themselves to abandon their land, did they not place even this statue onto their ships?