How to create separate galleries

Hi,

I’m new to WP and just started making a website a few days ago. The site i’m talking about is http://anskooijman.com (it’s in Dutch btw). I added some media into two different static pages by adding a gallery. (http://anskooijman.com/vrij-werk/ and http://anskooijman.com/familieportretten/)

The problem I’m having is that the galleries are not separate. When you get to the end of one gallery (FI on http://anskooijman.com/familieportretten/) you can still click next and end up in pictures on the other gallery. This shouldn’t happen because the nature of the two galleries are different.

I would prefer to solve it within the basic WP boundaries, but plugin ideas are also welcome. I hope someone can help me with this.