Singly Linked List copy constructor value order?

I want to add the nodes of MyString in the same order as in the
original class so that I can print "ch" field in the same order for
both classes. I was thinking of navigating until the end of list of
original class with a trailing pointer and inserting nodes backwards
so that I can print them in the same positions. But since this is a
singly list I can't get back to previous node. Another option I
thought is to traverse the list a second time and relink all nodes but
I don't like this idea because of the extra overhead of another loop.
Any other suggestions?

This is the input and output of the program below:
Input
Enter Char:
a
Enter Char:
b
Enter Char:
c

Output
Printing Values:
c
b
a
Copied Printing Values:
a
b
c

I want both to look like this:
c
b
a
#include <iostream>
#include <string>

using namespace std;

struct Node
{
char ch;
Node *next;
};

class MyString
{
private:
    Node *mystr;
public:
    MyString();
    MyString(MyString& m);
    Node* CreateNode(char);
    void Insert(Node* nd);
    void AddNode(char);
    void readStr();
    void printStr();
    void deleteStr();
};

MyString::MyString()
{
    mystr = NULL;
}

MyString::MyString(MyString& m)
{
    Node* ptr;
    Node* tptr;
    mystr=NULL;
    ptr= m.mystr;
    while (ptr!=NULL)
    {
        Node *newnode;
        newnode=CreateNode(ptr->ch);
        Insert(newnode);
        tptr=ptr;
        ptr=ptr->next;
    }

}

void MyString::Insert(Node* nd)
{
    if (mystr!=NULL)
    {
        nd->next = mystr;
    }
    mystr=nd;
}

Node* MyString:: CreateNode(char c)
{
Node* newnode;
newnode = new Node;
newnode->ch= c;
newnode->next = NULL;
return newnode;
}

void MyString::AddNode(char c)
{
    Node *newnode;
    newnode = new Node; // alocates space
    newnode->ch = c;
    newnode->next = mystr;
    mystr = newnode;
}

void MyString:: readStr()
{
    char c;
    cout << "Enter Char:" << endl;
    cin >> c;
    AddNode(c);
}

void MyString::printStr()
{
    Node *ptr;
    ptr = mystr;
    cout << "Printing Values: " << endl;
    while (ptr!=NULL)
    {
        cout << ptr->ch << endl;
        ptr = ptr->next;
    }
}

int main()
{
    MyString m1 = MyString();
    m1.readStr(); // read 'a'
    m1.readStr(); // read 'b'
    m1.readStr(); // read 'c'
    m1.printStr();
    MyString m2 = MyString(m1);
    m2.printStr();
    return 0;
}

Thanks Rod