Chinese entry requirements have their own whims... even if you have proper documentation.
A recent case.... was when a 12 year old girl travelling on her own from Vancouver to Beijing. She holds both Canadian and Chinese passports. (Illegal actually as China does not allow dual citizenships)... but upon check-in, the AC agent obviously asked if the girl has a Chinese visa for entry and was shown that she also holds a Chinese passport.
Upon arrival in China, the Chinese passport was shown upon which officials questioned why the passport had not Canadian stamp of entry on it. Then the Canadian passport was shown. Upon which the Chinese officials decided that the girl must have a Chinese visa on her Canadian passport.
She was duly deported and sent back to Canada. I don't know who foot the bill then... but when situations like this occur, the passenger does NOT have to pay the return cost of the ticket. The onus falls on the airline.
But the girl being 5 I guess, one parent would have to accompany her even if the parent has the proper documentation.
I guess you won't be going back to China in a while.