C# Checking if button was clicked

Click is an event that fires immediately after you release the mouse button. So if you want to check in the handler for button2.Click if button1 was clicked before, all you could do is have a handler for button1.Click which sets a bool flag of your own making to true.

private bool button1WasClicked = false;

private void button1_Click(object sender, EventArgs e)
{
    button1WasClicked = true;
}

private void button2_Click(object sender, EventArgs e)
{
    if (textBox2.Text == textBox3.Text && button1WasClicked)
    { 
        StreamWriter myWriter = File.CreateText(@"c:\Program Files\text.txt");
        myWriter.WriteLine(textBox1.Text);
        myWriter.WriteLine(textBox2.Text);
        button1WasClicked = false;
    }
}