Songs of women

Question: 

Which Old Testament woman praised God saying, "The Lord sends poverty and wealth; he humbles and he exalts.  He raises the poor from the dust"?

Drawing of Hannah's prayer by Marc Chagall
Answer: 

It was Hannah, the mother of the prophet Samuel in 1 Samuel 2:1-10.

Many people have seen a connection between Hannah's song and the song of Mary, the mother of Jesus, in Luke 1:46-55.

The joy of Hannah's song comes after her anguished prayer in the temple, when she begged God for a child.  She was so distraught in her praying that the priest, Eli, thought she was drunk!  Above is a depiction of that prayer by Marc Chagall.