The Ishtar Gate was built around 575 BC, by Nebuchadnezzar II, the same monarch who conquered Jerusalem in 586 BC. The Ishtar Gate foundations were discovered in 1899, and were reconstructed in the Pergamon Museum, Berlin, from the glazed bricks and other material excavated by the Robert Koldeway expedition in the early 1900's. This is the very Gate which the Jewish captives must have passed through, including Daniel and Ezekiel.
Jeremiah 29:1, 4-13
1 This is the text of the letter that the prophet Jeremiah sent from Jerusalem to the surviving elders among the exiles and to the priests, the prophets and all the other people Nebuchadnezzar had carried into exile from Jerusalem to Babylon:
4 This is what the LORD Almighty, the God of Israel, says to all those I carried into exile from Jerusalem to Babylon: 5 "Build houses and settle down; plant gardens and eat what they produce. 6 Marry and have sons and daughters; find wives for your sons and give your daughters in marriage, so that they too may have sons and daughters. Increase in number there; do not decrease. 7 Also, seek the peace and prosperity of the city to which I have carried you into exile. Pray to the LORD for it, because if it prospers, you too will prosper." 8 Yes, this is what the LORD Almighty, the God of Israel, says: "Do not let the prophets and diviners among you deceive you. Do not listen to the dreams you encourage them to have. 9 They are prophesying lies to you in my name. I have not sent them," declares the LORD.
10 This is what the LORD says: "When seventy years are completed for Babylon, I will come to you and fulfill my gracious promise to bring you back to this place. 11 For I know the plans I have for you," declares the LORD, "plans to prosper you and not to harm you, plans to give you hope and a future. 12 Then you will call upon me and come and pray to me, and I will listen to you. 13 You will seek me and find me when you seek me with all your heart. 14 I will be found by you," declares the LORD, "and will bring you back from captivity. I will gather you from all the nations and places where I have banished you," declares the LORD, "and will bring you back to the place from which I carried you into exile."
He remained in Jerusalem, uttering his prophetic words of warning, but without much effect. He was there when Nebuchadnezzar besieged the city (Jer. 37:4, 5), 588 BC, as Jeremiah had prophesied before-hand. The prophet, in answered prayer, received a message from God, stating that "the Babylonians would come again, and take the city, and burn it with fire" (37:7, 8). The princes, in their anger at such a message by Jeremiah, cast him into prison (37:15-38:13). He was still in confinement when the city was taken (586 BC). The Babylonians released him, and showed him great kindness; allowing Jeremiah to choose the place of his residence, according to a Babylonian edict. Jeremiah accordingly went to Mizpah with Gedaliah, who had been made governor of Judea. Later Jeremiah was dragged to Egypt by another governor with his faithful scribe and servant Baruch ben Neriah.(Jer. 43:6). It is known that he lived into the reign of Evil-merodach, son of Nebuchadnezzar, and may have been about ninety years of age at his death.)
( Ezekiel (not the prophet to which Jeremiah refers to) ~ The Book of Ezekiel gives little detail about Ezekiel. In it, he is mentioned only twice: 1:3 and 24:24. Ezekiel is a priest, the son of Buzi (“my contempt”), and his name means "God will strengthen". He was one of the Israelite exiles, who settled at a place called Tel-abib, "in the land of the Chaldeans." It is not the modern city Tel Aviv, which is named after it. He was carried away captive with Jehoiachin (1:2; 2 Kings 24:14-16) about 597 BCE.
According to other Jewish literature Ezekiel, like Jeremiah, is said to have been a descendant of Joshua by his marriage with the proselyte Rahab (Talmud Meg. 14b; Midrash Sifre, Num. 78). Until the twentieth century, most Ezekiel scholars were primarily interested in discussing whether the Book of Ezekiel should be included in the Biblical canon. There was apparently some concern that 'unlearned' Jews or Christians might misinterpret the book. For a time, the first chapter was not to be read in synagogues and the private reading of the prophecy was not allowed until a person's 30th birthday.)