So, especially after looking at several other websites with extensive photos of c. asiaticum — and comparing my “seed pod” to the clusters of fruit shown — I’m concluding that I have some seashore spider lilies. My friend’s home is being demolished and I wanted to save some samples of this unusual plant, in case it turned out to be a bit rare. So, I grew several of ’em from seeds found on the ground, which, three years later, have led to the photos posted here (and four pots of happy young seashore spider lilies!). Good outcome. And, again, my thanks to all of you.

Ah-hah! Thanks rpaul, for the link to the Crinum asiaticum photos. As you’ll see in my upload, today, the open flowers here look absolutely identical (at least, to me!) to those in the pix at the “wildsingapore.com” site. Of course, I may well be missing something that’s obvious to the rest of you, so I’ll await feedback.

Does this photo with open flowers help identify it?

Looks like a crinum, maybe crinum asiaticum? http://www.wildsingapore.com/wildfacts/plants/coastal/crinum/asiaticum.htm

Looks like crinum americanum. While there are crinums that send out runners, most produce offsets, and this one sets large seed which come up reliably.

It reminds me of walking iris but I don’t think that’s what it is.