Well, when you use the SQLite library and from Basic4PPC for Windows you compile an application, the SQLDevice.dll library is embedded into exe.
Then, you have to copy:
SQLite.Interop.060.dll
System.Data.SQLite.Device.dll
into the folder where the app will be installed.
It's better to create a Cab file with contains:
the exe you generated
SQLite.Interop.060.dll
System.Data.SQLite.Device.dll
so you can always use and distribute the right files.
I hope this can be a solution for you!