Have you read in Scripture that Jesus is our example?
1 Corinthians 11:1
Be ye followers of me, even as I also am of Christ.
Mary is the mother of Jesus Christ. Therefore, as her Child, Jesus had to ask Mary for comfort, nourishment and protection from the elements. He is our example. Therefore we do the same.
Now, most Protestants say, "She was His mother, not ours." But you are mistaken. Jesus appointed Mary our mother. That is plain in Scripture. To be more precise, Jesus appointed Mary the mother of all whom He loves and all who love Him.
26 When Jesus therefore saw his mother, and the disciple standing by, whom he loved, he saith unto his mother, Woman, behold thy son! 27 Then saith he to the disciple, Behold thy mother! And from that hour that disciple took her unto his own home. 28 After this, Jesus knowing that all things were now accomplished, that the scripture might be fulfilled, saith, I thirst.
Catholics are taught to read Scripture as though God was speaking to us. Now, are you a beloved disciple of Christ? To put it differently, are you a disciple whom Jesus loves?
Catholics would answer, "Yes" to that question and therefore accept Jesus command to take Mary as our mother and bring her into our home (i.e. heart).
For the second part of this explanation, you need to be aware of other verses in Scripture.
15 And I will put enmity between thee and the woman, and between thy seed and her seed; it shall bruise thy head, and thou shalt bruise his heel.
The seed of the Woman is not just Jesus. Let me show you:
17 And the dragon was wroth with the woman, and went to make war with the remnant of her seed, which keep the commandments of God, and have the testimony of Jesus Christ.
Do you consider yourself someone who keeps the Commandments of God and the testimony of Jesus? If so, then you are seed or a child of the Woman. That Woman is Mary. And therefore, Scripture says that all who fight the good fight on behalf of God in Christ, are children of Mary.
God appointed Mary our spiritual mother. Jesus gave Mary to the disciples whom He loves. Therefore, as any good children, we ask our mother for that which Our heavenly Father provides us through her.