For second wife children passport

For applying for Passport for your Children through your Second Wife, your Passport is not necessary. Your children can apply on their own duly producing the Birth Certificate or any other document in proof of their date of birth as acceptable to Passport Authorities . Second document needed is proof of address as acceptable to the Passport Authorities. Please visit the website of Passport authority and act accordingly.

Now the passport rules are made much simple and the details provided in ID documents like Voter card, ration card, qualification certificates  or AADHAR prevails.

Seek professional services for such procedural questions.