I am *very* *very* into natural remedies and natural treatments for illnesses and diseases. We have a family naturopath and we're in there all the time. So, this is coming from someone who absolutely believes in the natural mindset and I absolutely can understand why you don't want to do hard-core steriods.
Do *not*, and I repeat, do *not* be feeding your son this formula. Your naturopath is giving you dangerous, unhealthy advice for your child. It's not the first time I have seen it either.
Goats milk is much higher in salt and in a young infant it is tremendously taxing on their kidneys. Yes, goat's milk is more similar to breastmilk and is more digestible than cow's milk and far better tolerated. *But* that is a comparison between straight cow's milk and straight goat's milk. Cow's milk based formula is far easier on the digestive system of a young baby than goat's milk is.
Secondly, there is not *nearly* enough calories in that mixture to ensure proper growth. She is probably suggesting you dilute it to help with the fact that goats milk is hard on the kidneys, but water gives you ZERO calories and NO nutrition, and carrot juice is only about 5-10 calories per ounce versus formula at 20 calories per ounce and breastmilk anywhere between 18-25 calories per ounce. Carrots are a great source of natural sugar but zero fat. For a five month old to have to rely on that as a main source of calories for brain development and growth is disastrous.
If you are absolutely certain you want your son off of cow's milk and commercially based formulas, you can make your own formula at home (I've always breastfed so I can't personally vouch for any of them, but I've known people to use these http://www.westonaprice.org/Recipes-for-Homemade-Baby-For...) but please, PLEASE PLEASE ditch this recipe you are using. You will starve your baby of calories and of very essential, needed nutrients. If he were nine months old, you could swing something like this, but not five months. And find a better naturopath, because this one doesn't know what she is doing.
When it comes to his cough--- have you examined environmental and/or food allergies? Has he seen a pulmonologist? I can give you some more specific recommendations from there.
To comment on the above post--- I didn't say she would starve on goat's milk, I said she would starve on this preparation. This "formula" is only 1/3 goats milk and 2/3s water and carrot juice. That's less than 1/2 the calories your children got on straight goat's milk.
And as for the rest, yes, we'll have to disagree. :) I am not against goat's milk. We use goat's milk in our home all the time and the link above lists a goat's milk formula. Goat's milk is far more easily digestible by humans over all than cow's milk. But using only ultra-pasturized goat's milk is missing a lot of nutrients that are important for optimal development. Throughout history when people have been unable to breastfeed they've used all kinds of preparations and babies have lived :) People used to use straight cow's milk as well, with babies as young as newborns and those babies grew into adults. Goat's milk is more similar in composition to human breastmilk....but goat's milk is *NOT* breastmilk. It has a much higher concentration in salt, it is much lower in b-vitamins. That's fine on a daily basis when it's not the sole basis of nutrition, but it is missing several nutrients that are found in human milk and ultrapasteurized goat's milk is a dead product that is missing all the live components of human milk. Goat milk is designed by nature to grow goats, cow's milk to grow cows, and human milk to grow humans. If one can't breastfeed or chooses not (and there is NO judgment from me!!) then any other mammalian milk is going to be nutritionally deficient if it is the 100% sole source of food. Doesn't mean babies haven't or can't grow up fine on it, but it *is* missing key nutrients, which is why *I* personally would make a formula preparation to ensure optimal nutritional completeness.
Regardless, if she wants to use straight goat's milk--- her child will at least get their caloric needs met. There is no way for this baby to drink enough on this preparation to meet her daily caloric needs. Assuming a carrot juice on the richest side of 10 cal/ounce, goat's milk at 18 cal/ounce, an 8 ounce bottle would only give give 10.5 calories per ounce versus the 18-23 cal/per ounce of breastmilk and 20 cal/per ounce of formula. That is just more than HALF the calories, so he would either have to drink twice as much or lose vital calories. 32 ounces of this "formula" in a day is providing less than 350 calories. No baby can grow on that few calories in a day. The naturopath who suggested this is being reckless. She needs to at the very least make sure he is going to get enough CALORIES to grow.