Isaiah does not speak of a virgin in the strict sense--merely an unmarried woman. Isaiah is not clear that he is even speaking to a distant future conception. The whole meaning of Isaiah's chapter appears to imply that the birth he prophesies will take place about 735 B.C. during the reign of King Ahaz the father of the future King Hezekiah.
The words of Isaiah may have literally meant the conception
of the future King Hezekiah. At the time of Isaiah's words in
chapter 7, the mother of the future King Hezekiah would have
been unmarried.
Matthew, on the other hand, under the inspiration of the
Holy Spirit, creates an interpretation of Isaiah which is definitely
not literal. Matthew clearly interprets Isaiah in a fuller sense:
the unmarried woman is the virgin Mary, and God-with-us is
Jesus.