You can use the text (code) editor to cut and paste the pictures into whatever order you'd like.
Code for a linked image looks like this:
<a href="http://bipstravelblog.files.wordpress.com/2013/05/an-butterfly.jpg"><img class="size-large wp-image-30" alt="I snapped this stunning little butterfly not far from Otosan and Okasan's home." src="http://bipstravelblog.files.wordpress.com/2013/05/an-butterfly.jpg?w=940&h=616" width="940" height="616" /></a>
Notice that it starts with <a CODE HERE etc.
and ends with "</a"
code for an image with a caption starts with this:
[caption CODE HERE etc.
and ends with this:
You can use your browser's "find" function to search for "butterfly" which is in the title of one of your photos. Then it's only a matter of copying all the code between the tags and pasting it where you want it to go.
It is also possible to click and drag pictures in the visual editor, but it can become messy, especially when your photos have captions because in the visual editor you cannot see exactly where the cursor is.
Best to brave the code so everything stays neat and as you expect.