Did Mary the mother of Jesus the Christ have other Children?

Yes.  Rhetorically, would God have told Mary and Joseph that they cannot have the intimacy of sexual relations after the birth of Jesus or they could not have any intimacy since they are raising Jesus? 

Mark 6:3 "Is not this the carpenter, the son of Mary and brother of James and Joses and Judas and Simon? And are not his sisters here with us?” And they took offense at him."

Much of the misunderstanding by Believers is taken because of Matthew 1:25 discussing Joseph's relationship with Mary "And knew her not till she had brought forth her firstborn son: and he called his name Jesus.".  Notice it was until the birth of the Son, Jesus.

Notice also in Luke 2:7 it describes Jesus as the firstborn and not only child "And she brought forth her firstborn son, and wrapped him in swaddling clothes, and laid him in a manger; because there was no room for them in the inn.".

Further proof

In John 2:12 "After this he went down to Capernaum, he, and His mother, and His Brothers, and His disciples: and they continued there not many days."

In Matthew 12:46 "46 While He was still talking to the multitudes, behold, His mother and brothers stood outside, seeking to speak with Him. 47 Then one said to Him, “Look, Your mother and Your brothers are standing outside, seeking to speak with You.” 48 But He answered and said to the one who told Him, “Who is My mother and who are My brothers?” 49 And He stretched out His hand toward His disciples and said, “Here are My mother and My brothers! 50 For whoever does the will of My Father in heaven is My brother and sister and mother.”"

In Mark 3:31 "31 Then His brothers and His mother came, and standing outside they sent to Him, calling Him. 32 And a multitude was sitting around Him; and they said to Him, “Look, Your mother and Your brothers are outside seeking You.” 33 But He answered them, saying, “Who is My mother, or My brothers?” 34 And He looked around in a circle at those who sat about Him, and said, “Here are My mother and My brothers! 35 For whoever does the will of God is My brother and My sister and mother.”"

In Luke 8:19-21 "19 Then His mother and brothers came to Him, and could not approach Him because of the crowd. 20 And it was told Him by some, who said, “Your mother and Your brothers are standing outside, desiring to see You.” 21 But He answered and said to them, “My mother and My brothers are these who hear the word of God and do it.”"

In John 7:3-5 "3 His brothers therefore said to Him, “Depart from here and go into Judea, that Your disciples also may see the works that You are doing. 4 For no one does anything in secret while he himself seeks to be known openly. If You do these things, show Yourself to the world.” 5 For even His brothers did not believe in Him."

After Pentecost, Paul writes in 1 Corinthians 9:5 "Do we have no right to take along a believing wife, as do also the other apostles, the brothers of the Lord, and Cephas?"

James the brother of Jesus

Many Biblical Commentators believe James, brother of Jesus, was the leader of the Church of Jerusalem:

This is confirmed in Galatians 1:18-19 "18 Then after three years I went up to Jerusalem to see Peter, and remained with him fifteen days. 19 But I saw none of the other apostles except James, the Lord’s brother."

Jude the brother of Jesus

There is many Biblical Commentators who believe that the Epistle of Jude, whom identifies himself a brother of James in Jude 1:1 "brother of James" in one of Jesus's brothers.  Supposition is Jude identifies himself with his earthly brother in reverence to the Lord.

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