Hello Donnie0727
SearchHost.exe is a valid file part of Windows Search Indexer, which is a service that is designed to search and index files on Windows PCs. However as an EXE file, it is always susceptible to be a target of a virus attack. Just to be safe, I would recommend to run a Full Scan of your system.
On the other hand, you can try the next:
Click on “Start” and then go to settings.
On the resulting window, choose “Devices”. Select “Mouse and TouchPad”.
Scroll downward until almost at the bottom of the screen/window. You will see the option “Additional Mouse Options.”
When you select the additional options for mouse, a box appears containing the information of the touchpad that your device has. In most cases, you will see “Synaptics TouchPad”. Whatever yours reads, click on its settings and proceed.
When you click on settings, a new box will appear. In it, there is a tab labeled “Tapping/Taps”. When you open this tab you will see “Three Finger Tap” and “Four Finger Tap”.
Uncheck these boxes and then click on APPLY.
Exit the settings, and if you so wish, restart the computer. The search box should no longer appear. The Search/Cortana box may have been detecting your tapping as an instruction to invoke it all along.
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