A newly installed program under Windows 7 works with a previously deleted database and does not see a new one

Question

firebird

I am testing a program installer created on InnoSetup 5. During installation, files are simply copied without any tricks.
I created an installer, installed the program (all in one directory in Program Files (x86)), launched it, created a user (an entry was created in the database, Firebird 2.5), uninstalled the program using the automatically created unins000.exe. There is not even a directory where the program was installed (and the database with it).
I install the program again, run it, and it shows me the previously created user and does not see an empty database point-blank. Renamed the directory with the base - does not help (no errors, connects to a non-existent path). I made a special version of the program, which at startup shows which way it finds the database. It shows the directory where the database should be, but this directory is renamed and the program finds the database using a non-existent path and shows the same user. At the same time, the report files that are in the same directory work as they should.
Moreover, even if I manually create a directory and put the program's executable file in it, it will still find this invisible database.
Command line under admin does not see this directory.
Tell me what to do? What kind of trouble is this?