Mary, Mediatrix of All Graces

I have this picture in my entryway and I use to center my thoughts while I pray the rosary. 

Mary, Mediatrix of All Graces

by Father William G. Most
Closely related to the Catholic teaching on Mary's cooperation in the redemption is the teaching that, with through and under her Son, she is Mediatrix of all graces. What exactly does this mean?
The term Mediatrix in itself could refer to either the objective redemption (the once-for-all earning a title to grace for all men), to the subjective redemption (the distribution of this grace to individual men), or to both. It is most usual to use it to refer only to subjective redemption, i.e. , the process of giving out the fruits of the objective redemption, throughout all centuries. We must consider whether or not the term Mediatrix applies to all graces or only to some. We will ask also about the nature of the mediation: is it only by way of intercession, that is, does Mary simply pray to her Son that he may give us grace, or does God also use her as an instrument in distributing grace.
To begin, we can say without doubt that the title "Mediatrix" is justified, and applies to all graces for certain, by her cooperation in acquiring all graces on Calvary.
The Second Vatican Council (Lumen gentium ## 61-62), said:

... in suffering with Him as He died on the cross, she cooperated in the work of the Savior, in an altogether singular way, by obedience, faith, hope, and burning love, to restore supernatural life to souls. As a result she is our Mother in the order of grace.
This motherhood of Mary in the economy of grace lasts without interruption, from the consent which she gave in faith at the annunciation, and which she unhesitatingly bore with under the cross, even to the perpetual consummation of all the elect. For after being assumed into heaven, she has not put aside this saving function, but by her manifold intercession, she continues to win the gifts of eternal salvation for us. By her motherly love, she takes care of the brothers of her Son who are still in pilgrimage and in dangers and difficulties, until they be led through to the happy fatherland. For this reason, the Blessed Virgin is invoked in the Church under the titles of Advocate, Auxiliatrix, Adiutrix, and Mediatrix. This however it to be so understood that it takes nothing away, or adds nothing to the dignity and efficacy of Christ the one Mediator. For no creature can ever be put on the same level with the Incarnate Word and Redeemer...."

 You can find the rest of this from this website.