how to prove the earning of a lady who is earning money by by doing activites in Google

What is "s*x cliping"? This is too wild an allegation that could be sustained. Facts posted that she has deserted the husband and the child without justification. A better option could be to seek divorce based on marital cruelty.

 

Focus on the main issue and never divert attention to trivial issues that may not matter.  You are more competent to decide as to how she can support herself with her qualifications when she left her husband. 

Is it true statement that  wife uploaded s*x cliping on google and husband found earning money from it ?

Unfounded, unbelievable and unrealistic story.