Isaiah lived in Jerusalem with his wife and two children.  The prominence of his father is seen in that the prophet is often called "the son of Amoz" (13 times) and according to the Babylonian Talmud he was a brother of King Amaziah. 

Isaiah is quoted by Jesus and the disciples more than any other prophet. There are more than 250 allusions to Isaiah's prophesies. Isaiah prophesied in Judah from 760 to 713 B.C.  It was during his ministry that the northern kingdom of Israel was taken captive by our 87th great-grandfather Sargon II, King of Assyria and the Assyrians were threatening Judah also. After the fall Josephus says that Cyrus the Great (our 82nd great-grandfather) was induced by the prophecies of Isaiah (Isaiah 44:28 45:1,13) to aid the Jews in returning and rebuilding the temple.
Ezr 1:1-11 confirms this.

What I especially like about Isaiah is his emphasis on social justice which certainly inspired Jesus and  thus much of our thinking today. Men must cease to pursue wealth as the main aim in life: "God will not tolerate the oppression of the weak." Here is a piece of the Dead Sea Scrolls discussing his thoughts.