These are the animals you can get in HM: SNES.
You get it at the crossroads just outside your farm on the first day of winter. It grows up on the 22nd or 23rd Winter.
You get it on the second day on the farm. It comes running to you and Ellen chases after it. She asks you to keep it. She calls it Koro, but you can rename it.
You can buy it from the livestock dealer in town for 1000G. Feed it fodder, or the chicken feed from the Livestock Shop. It will stop laying eggs for 3 days if you forget to feed it. No feed is needed for chicks.
You can buy it from the livestock dealer in town for 5000G. It takes 21 days to grow up. If you don't feed it, it will be sick. No need for feed for small cows and calves. Feed it fodder or feed from the Livestock Shop.