Coming in (what exactly does the writer refer to there? Crops being harvested?)
Having lived and worked on a full-scale farm for a good part of my life, I can tell you for sure that "coming in" referrs to harvest. "The corn is coming in this week" = the corn is being harvested this week, as in "coming into" the barn or whatever. If you're referring to canning, freezing or otherwise storing food, it's called "putting by", as in "We're putting by apples this week". These are very old terms not frequently used these days.