What's this tv series?

There's this old tv series we were showed in elementary school. This lady goes to live on a farm as the new wife and step mother to a family that lost their mother. I remember there was one episode were the oldest daughter wakes up screaming for her mom and the step mom goes to comfort her. And later in the series there was a drought and they couldn't grow any crops. And then a really bad snow storm. The step mom goes to check on the son who decided to sleep in the barn and she gets stuck in the snow overnight and almost dies. I think her name was Anne or Ann?

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