How to search within the app that I bought in Google Play?
This might help:


Login to your Google account from your PC
Go to https://play.google.com/apps
Hit Ctrl+f (or command + f on Mac) and type the name of your app, and look for it.
Click the app name when you find it.


Now, you can either note down the exact name of the app and the publisher and install manually from the Play Store on phone, or, just click the Install button (make sure your phone is on and has a data plan/wifi), select your device, click Install.