How is the destructor for the vector managed when adding elements to this list? Is the object destroyed correctly when it goes out of scope? Are there cases where it would not delete the object correctly? For example what are the consequences if "table" was a child of object, and we added a new table to a vector of object pointers?
vector <object*> _objectList;
_objectList.PushBack(new object);
Since you're making a vector of "bare" pointers, C++ can't possibly know that the pointers in question are meant to have "ownership" of the objects they point to, and so it will not call those objects' destructors when the pointer goes away. You should use a simple "smart" pointer instead of a "bare" pointer as the vector's item. For example, Boost's shared_ptr would be perfectly adequate for the task (although you can surely do it with "cheaper", lighter-weight approaches, if you don't want to deal with Boost as a whole and have no other need for smart pointers in your code).
Edit: since you (the OP) say that using a framework such as Boost is not feasible, and a couple comments usefully point out that even wrapping std::auto_ptr doesn't really qualify as a decent shortcut, you may have to implement your own smart pointers (or, if you find an open-source, stand-alone smart pointer template class that looks usable, audit it for compliance with your requirements). This article is a useful primer to smart pointers in C++, whether you have to roll your own or audit an existing implementation.
In your case, the object pointers are destroyed properly, but the actual objects themselves won't be touched. The STL properly destructs all contained elements - but will not implicitly dereference pointers to types.
You could use bost 'ptr_vector'. It will automatically destruct objects that the items point to when they are either deleted or the instance of ptr_vector goes out of scope. More info is available here.
STL Vectors make a copy of whatever you put in there, and ultimately delete that copy.
So in this case, the vector is storing a pointer to an object - not the object itself. So it makes a copy of the pointer, and deletes the pointer. But, as Chris said, the object itself will not be deleted.
If you don't really need to use pointers, then don't:
vector <object> _objectList;
_objectList.PushBack(object());
If you do need to use pointers, you can either use a smart pointer (which handles reference counting for you, and will delete the object along with the pointer), as Alex suggested, or use a ptr_vector, as Igor mentioned.