That's just great. Thank You! I hope I get to be that good with identifying plants. Thanks for quick response too.

Juvenile foliage of at least one specie has notched leaves. Slender pigweed, also known as Green pigweed (Amaranthus gracilis) or (Amaranthus viridis) � Seedlings are hairless. � The first true leaves are egg-shaped and notched at the tip. Figure 1. Smooth pigweed prior to seedhead emergence. Notch at Tip Palmer amaranth Smooth pigweed Here is a link that might be useful: Pigweed ID

Sorry, I don't recognize it, but it definitely is not a lily. Here's a link to some photos of Stargazer lilies at Dave's Garden. Some of them show the leaves. Juliet Here is a link that might be useful: Photos of Stargazer lily

Irene ,going into winter its not good idea to fertilize as it will create growth that may not have chance to harden off and be damaged in winter. But not familiar with your climate as well ,here in cold area we do not. During spring and up to mid summer we fertilize our figs growing in containers and they respond well in growth. Figs that you have not planted and sprout up probably were seeds deposited by a bird etc. They eventually grow the fruit(as you shown) and at some point fall off due to needing pollination or possibly ripen not sure as I have not have had that happen here. There are different types self pollinated and another group that needs the fig wasp to pollinate or fruit will drop at some point. As a side note. Folks that recently moved into a home may not see plant in yard from previous owner planted until a season later as it may have died to soil level and re sprouted . Martin