Well, you need only one event for all your textboxes:
private void button_Click(object sender, EventArgs e)
{
Button btn = sender as Button;
int cnt = btn.Tag == null ? 0 : (int)btn.Tag;
btn.Tag = cnt +1;
string sent = textBox1.Lines[textBox1.Lines.Count-1];
textBox1.AppendText(string.Format("\n{0} has been clicked {1} times", btn.Name, cnt));
}