Yup, agreed on the ID. You could probably take cuttings a few nodes long & pot them back into mother plant's pot, to make it look even more full & lush.

It is unmistakably a lily. Looks most like one of the Asiatic hybrids but you won't know for sure until it flowers. "not a whole lot of lilies with above the ground stem bulbils. Asiatic don't produce them either." Windberry, you should have reviewed your source link a bit closer. Asiatic hybrids can produce bulbils, although not all do: "Bulbils can be found quite readily on the old fashioned Tiger Lily (L. Lancifolium) and other Asiatic Hybrids that, in their breeding background, have that tendency".

You need a better pic than that, but I'd guess it's a skullcap or a hedgenettle. Both can be native (you haven't posted your location) and a bit too enthusiastic for some. I like them.

Thanks. The Ulmus was apparently raised since a seedling and was pruned every year for the past 8 years until the person gave it up, now I'll have to plant it somewhere.