Template List not deleting items

[ICantC]

I have a simple template list (only using it for ints so far), and all appears to work except deleting items always fails and i'm not sure why. Below is the full code and main function

#include <iostream>

template<typename T>
class node
{
public:
	T* data;
	node<T>* next = nullptr;
	node<T>* prev = nullptr;
};

template<typename T>
class list
{
public:
	node<T>* head;
	int length;

	list<T>()
	{
		head = nullptr;
		length = 0;
	}
	list<T>(T item);
	~list<T>() {};
	void addItem(T item);
	bool deleteItem(T item);
	void print();
};

template<typename T>
list<T>::list(T item)
{
	head = nullptr;
	length = 0;
	addItem(item);
}

template<typename T>
void list<T>::addItem(T item)
{
	node<T>* newItem = new node<T>;
	newItem->data = new T;
	newItem->next = nullptr;
	newItem->prev = nullptr;

	*newItem->data = item;

	if (head == nullptr)
	{
		head = newItem;
		length++;
		return;
	}

	node<T>* iterator = head;
	while (iterator->next != nullptr)
	{
		iterator = iterator->next;
	}
	iterator->next = newItem;
	newItem->prev = iterator;
	length++;
}

template<typename T>
bool list<T>::deleteItem(T item)
{
	node<T>* iterator = head;
	if (*iterator->data == item)
	{
		if (length > 1)
		{
			head = iterator->next;
			delete iterator->data;
			delete iterator;
			length--;
			return true;
		}
		else
		{
			head = nullptr;
			delete iterator->data;
			delete iterator;
			length--;
			return true;
		}
	}
	while (iterator->next != nullptr)
	{
		if (*iterator->data == item)
		{
			iterator->prev->next = iterator->next;
			delete iterator->data;
			delete iterator;
			length--;
			return true;
		}
		iterator = iterator->next;
	}
	return false;
}

template<typename T>
void list<T>::print()
{
	if (head == nullptr)
	{
		std::cout << "\nList is empty.";
		return;
	}
	node<T>* iterator = head;
	std::cout << std::endl << *iterator->data << std::endl;
	while (iterator->next != nullptr)
	{
		iterator = iterator->next;
		std::cout << *iterator->data << std::endl;
	}
}


//main.cpp

#include "generic-list.hpp"


int main(void)
{
	list<int> l;
	int x = 5;
	int y = 16;
	int c = 44;
	l.addItem(x);
	l.addItem(y);
	l.addItem(c);

	l.print();
	std::cout << l.length;

	bool success = l.deleteItem(c); //this always fails
	l.print();
	std::cout << l.length << success;


	
	getchar();
	return 0;
}

[lastchance]

Line 89 should be just
while (iterator != nullptr)

However, your code may well fail later, because you haven't set a prev pointer on deletion in the same way that you set a next pointer.