What is the biblical and traditional support for the Catholic Marian devotion?

In [this answer](https://christianity.stackexchange.com/questions/17890/why-cant-catholicism-just-drop-its-marian-devotion/17977#17977) it was stated that the Bible does support Marian devotion, which the Catholics practice. In Luke, Mary says "all generations will call me blessed." I can see how this lends credence to Marian devotion, however, I think it is taking more than is given when you start saying things like "She is the Mediatrix of All Graces! She is the Cause of our Joy! She is the Singular Vessel of Devotion!" So is there more to the Marian devotion as given by the Bible? For such devotion that the Catholics give her I would think there should be. Of course, since I am asking Catholics, I would permit using the other Catholic books, if there is something to be found in them. Perhaps this should be another question, but if answers to the first are not enough in content I would permit how early Church fathers spoke of Mary as support for the Marian devotion. I would like to see if they said anything similar "cause of our Joy" or mediatrix of all graces." I would prefer writings from as early as possible. I would say later than AD 500 is too late.