well yes that's possible but you have to convince the VO that she was the earning hand in the home and you all are dependent on her.
in your case VO might feel you will not return to your home country so he/she can reject her student visa too.
Possible way out:- let her get Student visa first and then you apply your and your kid visa that can be visitor/open wp/dependent later on.
From where you are planning to file your case i.e. which country.