Visa for baby daughter...

My wife (native born Chinese, naturalized US Citizen) and I have US passports with Chinese residence permits for foreigners. While in China, my wife had a baby daughter who will be getting a US passport from the US consulate in Shanghai. Since my wife has family working in Singapore, she wants to visit next summer. Will my baby daughter be able to get a visa for China from the Embassy in Singapore, or will we need to travel back to the US or Hong Kong to get her visa?