Gerinums

I've never grown them from seed. Nor have I ever noticed any seeds from the plants I have, so I don't know that I am perhaps looking in the wrong spot or the fact that they last sometime after the first frost and are usually the last ones left standing

Gee, I've never tried them from seeds. I always winter them over, I have the same geraniums for at least the past 7 years or so. I can help with the wintering over part. In the fall, I dig up the geraniums and plant them in big pots. Then I store them in a room that stays cool, and where they only get reflected light (or filtered curtain light.) I don't water them like I normally would, I only water them each about a cup or less in a week's time. I don't fertilize them over the winter either. Around Feb or March, I get my outside pots ready, and I take each geranium plant and cut it down so that new growth can start. Anything that I've pruned off gets cleaned off of extra leaves, and dipped in Rootone. Then I stick that end into a pot, about 3 - 5 per pot, and as they grow I pinch and shape to get them fuller. After re-rooting the new starts, I then water and fertilize as usual. (I'm partial to sticking in that timed released fertilizer pellets when I repot.) I don't know lol, I've just done it this way for so many years, and I always have my geraniums for spring. Good luck! (And I can't wait to read responses here about growing them from seed!)

Starting from seed is a very slow process and the plants you get will most often be very different from the plants you collected the seed from. Most geraniums are vegetatively propagated (cuttings) of F2 hybrids (crossed gene lines). Seeds will not be the F2 hybrid as they go back to the parent genetics... so the outward appearance (the phenotype) of the offspring will probably not be what you expect. You can buy seed of old tried and true heirloom varieties from certified seed providers so that you know what you are getting. Seed geraniums tend to be smaller flowers but more profuse on the plant. Hope that helps some.