bispham_tangerine,
Flickr has a Camera finder: you'll also find dozens of photos taken by members with your Fuji S5800. This one suggests you certainly can get the DoF you're looking for:
http://www.flickr.com/photos/utnapis...11460/sizes/o/
You might start by using what this person did:
Camera: Fujifilm FinePix S5800 S800
Exposure: 0.006 sec (1/160)
Aperture: f/3.5
Focal Length: 63.3 mm
ISO Speed: 64
Exposure Bias: 0/100 EV
Flash: Flash did not fire
Let us know how it works.