Nice, I've just looked into your source (main.pas) and think that I've found an ugly bug.
constructor TWebView.Create(Parent : TWinControl; URL: string;
794 aNetworkAccessManager: QNetworkAccessManagerH; SetEditable: boolean = false);
795 var
796 W : WideString;
797 begin
798 Handle := QLCLWebView_create(L2Qt(Parent));
799 QWebPage:=QLCLWebPage_create(TQtWidget(Parent).Widget); <---THIS IS WRONG !
QWebPage := QLCLWebPage_create(TQtWidget(Parent.Handle).Widget) should be correct
Also, you dont check for TWinControl.HandleAllocated in L2Qt(), and here also you should check if Parent.HandleAllocated ...
cheers