The baby is certainly not responsible for that. However, the death may also result from parents having bad eating habits or bad life habits which may affect the foetus during pregnancy.
But, with regards to natural deaths, we do not control. It's in the hands of God. Being a muslim, I will refer to Islam saying that we are told that Allah will test us all. Through loss of health, money, and family relatives. I will obviously not question Allah's love for us since He created us.
All in all this is a test, and this life is just an exam. Think of it as a dream when you're sleeping. The suffering that you might experience in a dream is not real. Once you wake up it's all gone right?
Same for the life on earth. Once we die and we wake up on Reckoning Day, it will be similar to waking up from a dream.
RE: If God is a loving God, then why is there so much suffering in this world?