I had two ewes both have triplets the same night. One ewe, Eve (born on New Year's Eve) totally rejected one of her lambs. I don't know if maybe she forgot about him while she birth the other two, or the dog licked it, or what happened, but she did NOT want him. The other ewe, Miranda, wanted all her babies, but one was so small and weak that she couldn't suck. Miranda's teat is big and fat with milk and the runt lamb couldn't get her mouth over it. Both were cold.
I rigged up a half of a dog house with a heating pad and towels. Then I draped a towel over it, put the cold lambs in and turned on a hair dryer I placed in there. I got them both toasty warm. Then I had to tie the ewes and get the babies to nurse so they could get their colostrum, first milk with antibodies, without which, they will die. I spent the whole day, going from one ewe to the other, making sure the two babies could nurse. That evening I took them in the house and bottle fed them. If I had left them in the barn, they would not have made the night. When our week of below freezing weather is over, I'll start putting them in the barn during the day so they can be with the other lambs to run and play. I'll take their bottles to them and feed them there, and bring them in a night. Right now, the difference in temperature between the warm house and frigid barn would probably give them pneumonia.
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My lambing thread on BYH
(1) Baymule’s 2021 Lambing | BackYardHerds - Goats, Horses, Sheep, Pigs & more