Father is in USA and so is the child. Indian custody orders and alimony orders will NOT be valid in US.
You are making a HUGE mistake by isolating yourself across international jurisdiction. Father can VERY EASILY get full custody of the child and get the court to order you to pay child support, as you are the Non Custodial party.
That you dont have a job will be NO EXCUSE for you to not pay child support to the father of the child. Once child support kicks in and you are behind by $2500, all agencies across US are notified about you - your drivers license is suspended, you cannot exit or enter the country. Very serious matter.
Here is what you can do to show good will and that you are not a RUNAWAY.
1. Make a prayer to the court of the domestic situation. If you mention that you were financially abused, Court will give you relief and have a soft-er corner for you. You dont need any proof - your testimony is enough.
2. Request court for joint legal and joint physical. This will protect your rights as a mother and parent. There is a technicality - if you are have joint legal and joint physical, the child support amount would be far less.
I can help you draft the above petitions guide you to file the papers in the US court.
Abandoning Spouse and abandoning child can be treated as criminal case in US.
As a tip, do not buy any travel tickets for your child, apply for Indian passport or touch any childs travel documents. An intent to procure or use childs travel document can be used against you and you could lose 100% custody of your child - potential parental kidnapping. It has happened to several Indian moms in the US.