In Greek mythology, Laodamia daughter of Acastus and Astydamia was the wife of Protesilaus, the first Greek to die at Troy. The gods briefly restored her husband from Hades; when he returned below she could not bear the loss, clung to his image, and died — by suicide in the fire with his statue, or by kindred versions. Distinct from Bellerophon's Lycian daughter Laodamia and other homonyms.
Adapted from Wikipedia, "Protesilaus" and "Laodamia" · CC BY-SA 4.0
I.Widow of the first to fall
Protesilaus of Phylace leapt first ashore at Troy and was slain — by Hector in the usual account — fulfilling the oracle that the first Greek to touch Trojan soil would die. The gods pitied Laodamia and brought him up from Hades for a short reunion; when he was taken back she found the second loss unbearable.
She had a bronze (or wax) image of him made and devoted herself to it until her father destroyed the statue; she then leapt into the fire with it. Ovid's Heroides gives her a letter to the still-living Protesilaus; Catullus and later poets treat the pair as a paradigm of conjugal grief. One minority tradition names his wife Polydora instead.
II.Homonyms
The atlas id laodamia-protesilaus is Acastus's daughter, not laodameia-lycian (Bellerophon's daughter, mother of Sarpedon in Homer), nor the Arcadian queen sometimes called Laodamia, nor other minor Laodamias in the catalogues.