What does focal length have to do with the amount of light? Everything about your post here suggests an significant lack of understand of the basic principles of photography.
You need to learn the basics. Your struggle here is like lesson number one in the intro to photography...
This quote for example. You say you shot in shutter priority to prevent blur -- that's good and typically correct -- however, you also used a flash on your shot. This means you now have two different exposures in your single shot. Shutter speed is only going to affect the ambient exposure, where the flash itself is your shutter speed for the second flash exposure.
You could put your camera at 1/20 sec and shoot this same picture with flash and end up with a completely blurred background, with perfectly sharp kids. This is a technique called dragging the shutter.
Ultimately your issue is not a shutter speed issue, or a focal length issue, or even an insufficient light issue; it is a Depth of Field issue stemming from the combination of the focal length / aperture / focusing distance this was shot at. Understanding the basic physics of a lens and how all these factors affect each other and how to overcome them going to improve your photography in spades. A camera is a fairly simple tool, learn to master it from a technical standpoint and watch your photography improve in spades...