Windows or Inno Setup keeps same Access 2000 file when installing my VB6 application?

[dilettante]

Your installer should create an appropriate folder, set security on it as required, then copy the database there.

Example in VB6 that punts and just gives Everyone Full Control with inheritance:

Option Explicit

Private Sub Main()
    Const ssfCOMMONAPPDATA = &H23& 'Now also known as ProgramData.
    Dim Path As String

    With CreateObject("Shell.Application").NameSpace(ssfCOMMONAPPDATA).Self
        Path = .Path
    End With
    Path = Path & "\SomeCompanyName"
    On Error Resume Next
    MkDir Path
    Err.Clear
    Path = Path & "\SomeProductName"
    MkDir Path
    On Error GoTo 0
    'Grant Full Control to Everyone:
    SyncShell.Shell "ICACLS """ & Path & """ /grant *S-1-1-0:(OI)(CI)F /T /Q", vbHide
    MsgBox "Done"
End Sub

Typically you'd want to grant just the permissions required, perhaps even file by file.

BTW: icacls.exe wasn't available until Vista. See the CodeBank for examples of doing the same thing via API calls in VB6.