The mammary glands or whatever they are called, run along the belly to the bag and sometimes you will see them fill or swell.
Here's the logo graphic
Yes, the mammary glands go all the way to where the girth or cinch would be. My mare once had her mammary glands swell up just because she was in heat.
I thought I had cinched her too tight and caused it to swell. It looked wierd.