Currently, there is no definite agreed cause of DOMS...but I don't believe that the lack of carbohydrate nutrition is included in any of the theories?
Alot of good points already stated here.
If you work out early in the morning, and need energy, its important to have a carbohydrate dense dinner the night before(carbo-loading? im sure youve done it for sports before).
Many people(as in the norm population) choose to not eat before they do morning training because it activates your metabolism, and subsequently burns excess fat from your body first, instead of processing the food you just ate.
Again, personal preference.
However, it is important to wait a little bit after eating, to train. Otherwise you cramp(like waiting to swim after you eat?) Since your stomach is requiring more blood to process the food.
As already mentioned, post-training nutrition is important. I believe that it is recommended that you eat within 30 mins of finishing training, to prevent your body from entering a catabolic state- to which your muscles will break down to supply you with energy.
Also important is carbohydrate to protein ratio. If you dont have enough carbohydrates, your consumed proteins will be iused for immediate energy, instead of building broken muscle.