My 9-year old daughter is a southpaw. Her dad and I (both right handed) knew that she would be a lefty since she was able to sit up. We would put an object on her right side, and she would reach over with her left hand and pick it up! Each and every time!
I caught her sitter switching her spoon to her right side one day, (because I forgot something in the house and came back to retrieve it) and told her that she was more comfortable using her left hand, so don't change it.
She is a lefty through and through! She writes, eats, brushes her teeth, etc. and everything else with her left hand. She even kicks a ball with her left foot.
Fortunately, there are more things out now for left handed people. She even has her own left-handed ruler!