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Based on the information that you have provided here, you face quite a hurdle if you try to argue that her income is more than what is reported on your 2015 joint tax return without implicating yourself in the tax fraud. You and your wife under-reported your income on your joint tax returns. You cannot then turnaround and argue that the Court should look to the unreported income as basis for denying your wife's request for alimony. The Court may not entertain your argument based on clean hands doctrine--that you and your wife conspired to cheat on your tax returns and thus you deserve what you get. Nonetheless, you can legitimately bring up the issue of your wife's existing business and potential income from the business as the basis for the Court not awarding her spousal support/alimony.
Finally, her children's Social Security survivor benefits are irrelevant in your case, but her Social Security survivor benefits would be relevant and thus you can bring that up in your case