What filing status do you use for Head of household?
I have information regarding the missing Head of Household option.
It depends on the selected state when you set up or edit an employee's state and federal taxes. Certain states do not have the Head of Household option, and the drop-down menu will appear different. For example, Arizona only has Married or Single option. The Federal tab will list additional options such as Don't withhold and Married using Single rate.
I'd recommend reading our Payroll Compliance links to find out more details about the state's withholdings and other payroll tax regulations: Payroll Tax Compliance Links.
If the state is supposed to have this option, you'll want to update the tax table and your QuickBooks release. There's a chance that an outdated release version might be preventing you from seeing the Head of Household option.
To update the tax table manually:
Go to the Employees menu.
Choose Get Payroll Updates.
Tick Download entire payroll update, then hit the Update button.
You can also check out the IRS guidelines regarding the employee's withholding details: Hiring Employees. According to the publication, you can withhold the employee's tax as Single, provided if the W-4 form details are incomplete.