There does not seem to be any way to enter property taxes for property with no mortgage. I tried checking 'Second home' but the program just recycles my first entry.

[DoninGA]

To enter property taxes on a second home without a mortgage -

Click on Federal Taxes (Personal using Home & Business)

Click on Deductions & Credits

Click on I'll choose what I work on (If shown)

Under Your Home

On Property Taxes, click on the start or update button

OR -

Click on Forms.

When in Forms mode click on the Taxes and Interest Deduction Worksheet (Tax & Int Wks) on the left side of the screen to open the worksheet.

Scroll down to Line 2c

Enter the amount of property taxes paid on the second home