Wonder if he is gulping the milk too quickly and he is getting some on his lungs Pamela. Not sure what you could do to counteract this. Perhaps tilting him forward and gently massaging his chest might help.
Found this information on a website
Feeding
Intake is limited by the size of the stomach, and excessive fluid intake must be avoided because a newborn kitten's kidneys are functionally immature and have a very limited capacity. Numerous feedings throughout the day, usually every four hours, will prevent overloading the digestive system and kidneys. The number of feedings can be decreased, and the intake per feeding can be increased accordingly, as the kitten matures.
The daily intake of food is based on the kitten's energy requirement. Caloric requirements for the newborn kitten are approximately 420 kilocalories per kilogram at birth, and by five to six weeks of age it needs only 240 to 275 kilocalories per kilogram. (A kilogram is 1000 grams, or 2.2 pounds. A kilocalorie, a term often shortened to calorie by the nonscientific community, is the amount of heat required to raise the temperature of one kilogram of water one degree Celsius.) To calculate the daily amount of milk replacer required for the newborn follow these steps:
Divide the kitten's weight in grams by 1000 to determine the weight in kilograms.
Multiply the answer from step I by 420 (kilocalories). The result provides you with the number of kilocalories needed daily to sustain the newborn kitten.
Find the caloric concentration of the formula on the label. Divide the amount needed by the kitten by the caloric concentration of the milk replacer. Multiply the answer by the quantity of formula (in milliliters) that supplies the specified caloric concentration.
Take the total for the day and divide it by the number of feedings per day.
Here is the link for the website, it has loads more information.
http://maxshouse.com/kitten_care.htmWishing you loads of luck.