In Greek mythology, the wife is Penelope and the son is Telemachus.

Telemachus's name, translated literally, means a 'far-fighter' or 'far from battle' or, 'fighting from afar'. He is one of the central characters in Homer's tale called the 'Odyssey'.

One of the many themes in the first four books focuses on Telemachus's journey in search of news about his father, who has yet to return home from the Trojan War. Telemachus is guided by Athena (Ancient Greek goddess), who sometimes accompanies him and appears to him in his quest to gain knowledge of his father.

During Telemachus's absence, Odysseus's house has been occupied by hordes of suitors seeking the hand of Penelope. In the later books, after both Telemachus returns home and Odysseus has also returned home but in a disguise, Penelope challenges the suitors to string Odysseus's bow and shoot an arrow through the handle-holes of twelve axe heads.

Telemachus is the first to attempt the task and he would have succeeded, but Odysseus subtlety stops his son before he can finish his fourth attempt. Following the multiple suitors' failure at this same task, Odysseus reveals himself and he and Telemachus bring swift and blood death to the suitors.

In Homer's tale, Penelope has remained faithful to her husband for 20 years while Odysseus was gone, first fighting in the Trojan War and then enduring multiple setbacks as he tries to return home. Her name became traditionally associated with marital fidelity.

More Info: en.wikipedia.org