Your daughter sounds a lot like mine, she basically lives off fresh air and love. My daughter is 4 and goes to day care 2 days a week. They are nut and egg free, otherwise in her lunch box I usually put... pop corn, shapes (bbq flavour), rice crackers, vegemite scrolls (puff pastry spread with vegemite and sprinkled with cheese, roll into a log and cut into slices. Place slices onto a baking tray and bake at a high heat about 200 degrees until puffed and golden, you can also add any other flavours you like, like a pizza flavour with ham, tomato paste etc), cheese, crackers, strawberries, I've been trying wraps with cheese and meat, muffins of all kinds, pancakes (we call them flat cakes instead). If the day care weren't egg free I would boil an egg. I've been wanting to try out some wraps with cheese and meat. The day care has a microwave so I can send hot stuff along too like pasta, but I also hear that quiches are good cold too.
As for the my first vegemite, 4.7 per 100 sounds really odd considering that normal vegemite is only 1.4g per 100g. I would like to see the ingredients to see what makes up the 4.7g of sugar.