What's your question? Ask

my plants were planted in my woods and come up every year and have multiplied as you wrote yours did...before you moved them...I would put them in a shady area that is not disturbed and if put under trees will be naturally mulched by the fall leaves...I don't do anything to mine...I forgot them and remembered to look to see if they were alive and found at least 20 plants.....they produce an amazing seed stalk of red shiny seeds in a row at least 8 of them...try and harvest these and plant them to see if you can propagate them that way......b

Excess moisture during winter or spring can kill off large groups of Jack In The Pulpit plants.

This link has more information.
http://www.extension.umn.edu/garden/yard-garden/flowers/jack-in-the-pulpit/

Jack In The Pulpit would not grow in a container, they need a woodland area to grow in.
This article will help you.

https://www.gardeningknowhow.com/ornamental/flowers/jack-in-the-pulpit/growing-jack-in-the-pulpits.htm

Here is a link that will help you.

https://www.gardeningknowhow.com/ornamental/flowers/jack-in-the-pulpit/growing-jack-in-the-pulpits.htm

Seeds of the Jack in the Pulpit plant.

https://www.gardeningknowhow.com/ornamental/flowers/jack-in-the-pulpit/growing-jack-in-the-pulpits.htm

Jack-in-the-pulpits do better in shade, and the soil (which should be made up of a LOT of organic material) needs to stay moist.

You could try planting some corms directly into the ground in the fall -- again, make sure the soil is made up of content that the Jack-in-the-pulpit thrives in.

This article will give you some additional information on growing Jack-in-the-pulpits: https://www.gardeningknowhow.com/ornamental/flowers/jack-in-the-pulpit/growing-jack-in-the-pulpits.htm