Probably simple, but I'm new at php

Ok I am needing to create a simple function to change text submitted by a form.

I have a form with a drop down select. This form is posting to another page and I am getting the data using the <?php echo $_POST["frame"]; ?>  function

This echo's the value that is set in the form. I am wanting to change the value that is being displayed only on this one page.  I would like to data to stay the same, but show something different

Example: 

I know this is not the correct code, using as example:

<form action="nextpage.php" method="post">
 <select name="frame" id="frame">
    <option value="#000000">Black Frame</option>
    <option value="#0000FF">Red Frame</option>
    <option value="#FFFFFF">White Frame</option>
    </select>
<input type="submit">
</form>

The form has a drop down to select a frame color.  I used a hex code as a value, so on the next page it is pulling the data using the above code and it is displaying the hex code.

What I would like for it to do is enter in the name of the color that is shown in the drop down menu.Such as "Black Frame" instead of "#000000"

I've been thinking about creating an external php file that will sort of "translate" the text.  Like,  if  $frame #000000 then echo Black Frame , but  as a newbie I am unsure how to do this correctly