The father of the goddess Hera was the Titan Kronos. Her mother was Rhea. When Hera was born, Kronos swallowed her. She was later spat out along with the rest of her siblings.
Hera never died - she was (is) immortal. Some think that she is still around today.
Cronus
The Greek gods were immortal - they could not die.
She's a god, they are immortal. Which means they can't die.