Tyrsenian (also Tyrrhenian), named after the Tyrrhenians (Ancient Greek, Ionic: Τυρσηνοί, Tursēnoi), is a hypothetical extinct family of closely related ancient languages proposed by Helmut Rix (1998), that consists of the Etruscan language of central Italy, the Raetic language of the Alps, and the Lemnian language of the Aegean Sea.
https://en.wikipedia.org/wiki/Tyrsenian_languages
The Lemnian language was a language spoken on the island of Lemnos in the 6th century BC. It is mainly attested by an inscription found on a funerary stele, termed the Lemnos stele, discovered in 1885 near Kaminia. Fragments of inscriptions on local pottery show that it was spoken there by a community. In 2009, a newly discovered inscription from Efestia was reported. Lemnian is largely accepted as being closely related to Etruscan. After the Athenians conquered the island in the latter half of the 6th century BC, Lemnian was replaced by Attic Greek.
https://en.wikipedia.org/wiki/Lemnian_language
The Tyrrhenians (Attic Greek: Τυρρηνοί Turrhēnoi) or Tyrsenians (Ionic: Τυρσηνοί Tursēnoi; Doric: Τυρσανοί Tursānoi) is an exonym used by Greek authors to refer to a non-Greek people.
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The name becomes increasingly associated with the generic Pelasgians. Herodotus places them in Crestonia in Thrace, as neighbours of the Pelasgians. Similarly, Thucydides mentions them together with the Pelasgians and associates them with Lemnian pirates and with the pre-Greek population of Attica.
Lemnos remained relatively free of Greek influence up to Hellenistic times, and the Lemnos stele of the 6th century BC is inscribed with a language very similar to Etruscan.
https://en.wikipedia.org/wiki/Tyrrhenians
The origins of the Etruscans are mostly lost in prehistory, although Greek historians as early as the 5th century BC repeatedly associated the Tyrrhenians (Turrhēnoi/Τυρρηνοί, Tursēnoi/Τυρσηνοί) with Pelasgians. Thucydides, Herodotus and Strabo all denote Lemnos as settled by Pelasgians whom Thucydides identifies as "belonging to the Tyrrhenians" (τὸ δὲ πλεῖστον Πελασγικόν, τῶν καὶ Λῆμνόν ποτε καὶ Ἀθήνας Τυρσηνῶν), and although both Strabo and Herodotus agree that Tyrrhenus/Tyrsenos, son of Atys, king of Lydia, led the migration, Strabo specifies that it was the Pelasgians of Lemnos and Imbros who followed Tyrrhenus/Tyrsenos to the Italian Peninsula. The Lemnian-Pelasgian link was further manifested by the discovery of the Lemnos Stele, whose inscriptions were written in a language which shows strong structural resemblances to the language of the Tyrrhenians (Etruscans). Dionysius of Halicarnassus records a Pelasgian migration from Thessaly to the Italian peninsula, noting that "the Pelasgi made themselves masters of some of the lands belonging to the Umbri"; Herodotus describes how the Tyrrheni migrated from Lydia to the lands of the Umbri (Ὀμβρικοί).
https://en.wikipedia.org/wiki/Etruscan_civilization