Hi Jack,
Thank you for posting in Microsoft Community.
I understand that the mouse pointing feature on the touch pad of your laptop does not work after the Windows 10 1909 update. I certainly appreciate the efforts that you have taken.
As the scroll works and the pointing does not, it is possible the feature might be disabled on restart or it could also be the driver. We will certainly look into this for you.
Let us try a few steps and check.
Method 1: Check Synaptics Control Panel
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Press Windows + R key on the keyboard to open
Run window.
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Type main.cpl and click on OK
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This should bring up the Mouse Properties.
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Click on the Device Settings (Synaptics) tab. In advanced options check for
“Pointing” option and see if it is disabled.
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If it is disabled, proceed to enable the option.
Method 2: Download driver from Toshiba
I would suggest you to download the latest Synaptics driver from
Toshiba Website for your computer and check. Please make sure the laptop model is accurate.
Method 3: Install generic driver.
In Device Manager,
right-click your touchpad driver > Update driver software...> Browse my computer for driver software > Let me pick from a list of device drivers on my computer, select HID compliant mouse, select Next,
and follow the instructions to install it.
Let us know the results. If the issue persists, we will certainly assist you further.