You may be interested in the book Wisconsin Death Trip, which is a cult classic. It's mostly a weird collection of photographs all taken by one photographer, Charles Van Schaick, in late 19th century Jackson County, Wisconsin, plus newspaper accounts by father and son Frank and George Cooper from the same time and place that were collected and published in 1973 by Michael Lesy. Many of these photographs are of dead people, especially dead children, as was the custom at the time. Here's the preface to the book as a pdf.

Here's a flickr album of some of the photographs he used. I've only picked up the book once, and this isn't really my area of expertise, but I can tell you that this is a fascinating weird document. There was also a movie made of the book, using the same title, in the 90's, though I haven't seen it and I don't really know about it. Here's an "audio slide show" featuring an interview with author explaining somethings about the book. I'm not sure if the book addresses your exact questions about burial (I assume you're doing research either for a novel, a movie, a video game, or a family history), but both the book will give you a real sense of death in the period. It gives you information you wouldn't have thought to ask about. It's not exactly a book of history and it's not exactly a piece of art, it's just a unique mix of the two. Here's a piece about how to read it. The text is mostly made up of these little one paragraph stories, plus longer texts written by Lesy himself and some snippets from period novels and the like, and since many of them are short death notices, you may find more specific information about funeral arrangements. A lot of the things from the newspaper look like this one, from 1890:

John Kuch, a farmer living in the town of Oakland, was found in his barn the other morning hanging by his neck . . . No cause was known. About twelve years ago, his father hanged himself in the same barn. [Local 1/16]

It's a pretty common book, your local library may well have it if you don't want to shell out for it.

There was a special tradition in the UP of Michigan that if the someone died in the winter, there would be a funeral a couple days later, but the actual burial would not happen until the ground thawed in the spring. Cemeteries had a small building to hold the casket until then.