@apapadopoulos 30% held back is a good number. Whether or not it will completely cover the anticipated tax liability will depend on a few other factors (especially your overall combined income). But as long as you and your wife are in the "12%" tax bracket, then your total tax on the income should be no more than 27% (and likely less than 25%, with other deductions that will be factored in). Since you live in Texas, and there are no state or local taxes to pay, you sound like you've held enough back. And this will be even more certain if you've held back the 30% from her gross income amount, because you will pay tax (including self-employment tax) on net income amounts.
Having said that, please review the information @CRitter3 provided, especially with regards to making estimated payments. Going forward, you'll want to do this in order to not face underwithholding penalties for not contributing enough tax throughout the year.
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