The Targumim:Targum Jonathan,
“For to us a Son is born, to us a Son is given: and He shall receive the Law upon Him to keep it; and His Name is called from of old, Wonderful, Counselor, ELOHA, The Mighty, Abiding to Eternity, The Messiah, because peace shall be multiplied on us in His days.”
“The prophet announced to the house of David that: A boy has been born to us, a son has been given unto us, who has taken the Torah upon himself to guard it; and his name has been called by the One who gives wonderful counsel, the Mighty God, He who lives forever: ‘Messiah,’ in whose day peace shall abound for us.”
The Midrashim:Midrash-Rabbah Deuteronomy I:20,
“‘I have yet to raise up the Messiah,’ of Whom it is written, For a child is born to us.”
Note that according to this understanding, God has not yet done that which is spoken of as a child is born.
Midrash Mishle (S. Buber edition),
“The Messiah is called by eight names: Yinnon, Tzemah, Pele [‘Miracle’], Yo’etz [‘Counselor’], Mashiah [‘Messiah’], El [‘G-d’], Gibbor [‘Hero’], and Avi ‘Ad Shalom [‘Eternal Father of Peace’]”
Midrash Rabbah Ruth V:6 on Ruth 2:14,
“makes reference to the Messiah_AND THEY REACHED HER PARCHED CORN, means that he will be restored to his throne, as it is said, And he shall smite the land with the rod of his mouth (Isa. 9:4).”
Contextually, if 9:4 is Messianic then so is 9:6.
Midrash Rabbah Ruth VII:2,
“Hezekiah, as it is said, That the government may be increased, and of peace there be no end, upon the throne of David, and upon his kingdom, to establish it, and to uphold it, through justice and righteousness (Isa. IX, 6). And his name is called Pele-joez-el-gibbor-abi-ad-sar-shalom (ib. 5). Some observe that l’marbeh (be increased) is written with a closed meme.(1)”
Footnote (1) The text has ‘lacking a mem‘, but it must be corrected as above. It is difficult to see the point of the Midrash. The ‘closed’ mem is that written at the end of a word. The Rabbis maintain that God intended Hezekiah to be the Messiah, but the closed mem teaches that he was shut out from that honour because he had not sung God’s praises (Sanh. 94a).