Excellent set of pictures and information. But sadly I don't recognize it.

Yes excellent! Perhaps Lysimachia ciliata? I have not grown the species only L. c. 'Firecracker' but the emerging growth/roots & spread are indicative of what I see.

I have seen that species in this park before but never in this area. I did an image search for basil leaves of Lysimachia ciliata but didn't find anything, only upper leaves of adult plants but did find this description:

"opposite, oval below to lanceolate above, entire with very small teeth, rounded base and pointed tip, petioles winged with dense fringe of hairs". I don't see any sign of "hairs" but do notice a "ridge" on the stem. I may have to wait until spring/summer when these sprouts mature and maybe bloom to confirm what they are. Thanks for the comments.

Yes please update here. I am fairly certain but confirmation would be good.

A guess, watercress, Nasturtium officinale?

Interesting, this is a very muddy, wet, area and the leaves are similar but none of them seem to have the classic watercress leaf layout that I see in this photo I found - thanks for the suggestion:

No, it's 100% not watercress. Nothing matches. I don't know what this is but I am very familiar with watercress and it's not that.