Is any of the Bible written by women?

No book of the bible cites a woman as its author.  However, there are books without any ascription – a notable example being the Epistle to the Hebrews in the New Testament.  Various attempts have been made to guess at the author of Hebrews, and one of the candidates is a woman – Prisca.  She was a Christian who left Rome in 49 CE when Claudius expelled all the Jews from the capital.  She worked  with Paul in Ephesus, and was sufficiently intellectual and eloquent to take on the Alexandrian missionary, Apollos, in debate, and convert him to Pauline Christianity. [1]

Another possibility for feminine authorship is the Book J.  If the first five books of the Bible, the Pentateuch, are dissected according to the name they give to God, one of the “books” that emerges is “J”.  Some have posited that the author was a woman[2].

 When Paul was traveling to Jerusalem for the last time, he stayed for some time (according to some translators – “an unexpectedly long time”) with the deacon Philip and his daughters, who were prophetesses (preachers).[3]   It has been suggested that these daughters provided source material for Luke, who may have been gathering material for a defense document for Paul.  The Gospel of Luke is one of the two gospels that contain a nativity story, and this is full of feminine touches, such as Mary’s visit to her cousin Elizabeth, unmentioned by the other gospels.[4]

The Song of Miriam[5] is sometimes quoted as the oldest material in the Old Testament, and the Magnificat[6] as the oldest Christian document.  Both are attributed to  women.