When did Dr. Shaw send out her distress beacon?

I've been wondering when exactly Dr. Shaw sent out her distress beacon. This is also dependent on when exactly she died/was killed by David. It seems she put David back together soon after leaving LV-223, proceeding to enter hyper-sleep until they arrived at their destination (as seen in The Crossing). Prior to the movie's release, press reports said Dr. Shaw had holed up in the cockpit, which we didn't see much evidence of in the movie or The Crossing. This is all further dependent on if/when David woke her up. She did not die in the crash after David's bombing, as David had said, so she could've sent out the beacon after the crash or sometime before David got to her, if she had, in fact, prolonged his acquisition of her via holing up in the Juggernaut cockpit.

What does everyone think?