https://www.minnesotawildflowers.info/fern/lady-fern This site has a lot of information on identification.

Wow... what do you feed the potted one? Did not realize they could trail like that. We got our first one on sale mid-summer and it has not been phased by the scorching west-facing patio that wilts most every other potted plant we've tried there even with daily watering... well, other than yucca, but too much traffic for its barbs. Nice to see such a range of potential.

It should, but ferns are really slow when they've been cut back. Try sprinkling cayenne pepper all around it and see if that stops whatever is eating the plant. Unless you know what the rodent is, then you can repel accordingly.

That is a big "DUH" for me - sorry- I should know what potting up means! Thanks. One of the tubers didn't look that great, so out of curiosity I cut it in half - it looked just like a grape inside. The other one has a little root on it so I will plant that and hopefully that will take.