Goat milk for immune boosting other goats

Hi, I am a brand new owner of two Nigerian dwarf doelings. One was born in July and had a little cold when I picked her up (just last weekend!). She was dam raised but I suspect a little neglected by previous owner. Anyways I had the idea of letting her drink some raw goat milk (from a family down the road that has Nubians/LaManchas) as a way to boost immunity. Does that sound like a good idea or is she too old for milk? Anyone know?

If she was raised on her dam she won't take a bottle. You could try her with some in a bucket but you want to be very sure that the donor goat is free of CAE as it is transmissible in milk.