Sigh... I guess I will have to ...
You asked for a Baptist Confession supporting the divine attributes, here it is:
The 1689 Confession states: 
being conceived by the Holy  Spirit in the womb of the Virgin Mary, the Holy Spirit coming down upon  her: and the power of the Most High overshadowing her; 
- Baptist Catechism
 
- Q25: How did Christ, being the Son of God, become man?
A25: Christ, the Son of God, became man, by taking to himself a  true body, and a reasonable soul, being conceived by the power of the  Holy Ghost, in the womb of the Virgin Mary, and born of her yet without  sin. 
 Mary became pregnant or conceived Jesus by the Holy Spirit; this  was in her womb; she was a virgin.  These are all very important  elements to Christ having a human nature.  This incarnation was not a  mystical, spiritual, or non-material pregnancy; it was physical and  Jesus developed as any other human would in his mother’s womb.  But  there was a difference was that Mary conceived by the Holy Spirit’s  power which overshadowed her; the fallen nature of Adam was not passed  onto Jesus as it would have through the seed of a fallen man.   Obviously, I am not exactly saying that sin, in a purely physically way,  passes through the seed of a man into the egg of a woman, and that only  in this physical way is sin passed to each human.   The imputation of  sin to all of Mankind by Adam’s first transgression is a spiritual  matter.  It is the judgment upon all mankind since Adam sinned as our  federal head. 
 I can’t pretend to have this all worked out, but we cannot forget  that Jesus was sinless (and is still sinless) because he was very God of  very God.  Certainly the virgin birth, by the power of the Spirit,  assures us that the Second Adam did not inherit Adam’s sin, and that as  one who is not born by ordinary generation he did not inherit Adam’s  sin, but was born in holiness.  This Second Adam would be tempted by the  serpent as was the first, but the Second Adam would not succumb; he  would triumph over the devil, thus crushing the serpent under his  feet.    
 The 1689 Confession states: 
and so was made of a woman of the tribe of Judah, of the seed of Abraham and David according to the Scriptures;
 Jesus was born of a the virgin Mary, but there was a context for the  birth of this promised One in history (the fullness of times).  He was  born, according to the Scripture’s predictions, to the tribe of Judah,  from the lineage of Abraham and David as was promised.
 This is all so historical, so human, and yet so supernatural all at  the same time.  God used ordinary providence, but he also worked freely  outside of ordinary providence by the virgin birth of Jesus.  Truly  prophecy is a supernatural in its revelation, and add to this the  supernatural fulfillment, but in all this supernatural there seems to be  a natural or ordinary providence aspect.  
 Here we come to a finalizing of section two.  The first movement, as  it were, declared the deity of Christ, the second movement declared the  humanity of Christ, and now the defining, fencing, and distinctions that  need to be made in relation to the ”two natures in one person” are  stated.
 The 1689 Confession states: 
so that two whole, perfect, and distinct natures were inseparably joined together in one person,
 This portion reiterates the fullness each of the two natures.  Jesus  is very God, eternal God, and fully God.  Jesus us fully human, being  born of a woman from her womb, and born of a woman under the law.  These  two natures are whole; they are not partial or lacking in any respect.   But while they are whole, they are also distinct.  They are separate  natures.  But while they are whole and distinct, they are also  joined inseparably to one person.  It would do us well to make sure we  grasp these three aspects before moving on from here. 
 
- 1. Two whole and perfect natures.  
 
- 2.  The two natures are distinct
 
- 3. The two natures are inseparably joined to one person