I had a small deep pond that I put a few goldfish in (feeders). They reproduce amazingly fast. The 'wiggly' things you saw could have been gross mosquitoe larvae.

I've heard that some fish can change their sex, but not sure if this is true about goldfish. If you say only have one female gold fish and she lays eggs, you won't get any new fishies of course.

Thanks Mersiepoo! I looked for images of mosquito larva and that's what they seem to be. Yuck! But then I looked for images of mosquito eggs and they look nothing like what I found on my lily. I'm quite sure those were goldfish eggs on the lily after looking at pictures of them online. But they never hatched. It could be that they weren't viable, or moving them disturbed them and killed them? Dunno. I put them in clean dechlorinated water, but still. I should have put them indoors to keep the temperatures stable.

I actually have two goldfish and I don't know what their sexes are. I suppose there's a 30% chance I could have gotten a male and female. Their chasing behavior seems to indicate this. I will do some more research to see if goldfishes can change their sex. I know this is more common in swordfishes and platys.
Too bad I've rebuilt the pond so any eggs that could have been good would have been lost. I wonder if they mate more than once a Spring?

If they were tiny pin-head size balls, stuck to the plants, they were probably fish roe.
When spawned by the female and fertilised by the male, with his white spray, the roe is orange in colour.
If it turns white/or almost clear it is not viable.
Usually you will see both orange and white together. Not all the roe becomes fertilised or viable. And that's a blessing!

From fertilised spawn/roe you should see tiny 1/4" fry within a few days. Two eyes with a wriggling tail.

Goldfish do not change sex, they can change colours all through their lives, but not their sex!
At a year old they can breed, so if your fish are four years old it was probably fish roe that you saw.
It may have turned cold after the spawning and that killed the roe or they were not fertilised?
"Horton"

Thank you very much Horton! I you've helped me confirm that these were fish roe, but not viable. They were offwhite, not pure white, so I suppose they *could* have been recently fertilized... It didn't freeze or anything after I moved them, but dipped down to the forties for a couple nights. That can quickly lower the temperature in a 10g tank!
I suppose the only question left to answer would be the sex of my goldfishes and see if there's any hope of them spawning in the future. Since I only have the 2 fish, baby fishes would be a welcome addition (I'm sure that would change quickly though!). Since I can't see them, I suppose I'll have to wait it out. Probably be best to go and buy some more goldfishes. They're not expensive, at least!

Thanks again for your advice!

You are very welcome Destany.
Sorry I missed the question about sexing goldfish.
The males at breeding time may have little white bumps on their gills and head, they are called 'breeding tubercles'.
The male's colour can also intensify during this period.
As far as identifying the females, they are the ones being chased, nudged and ran ragged!
It sometimes helps to net the females out of the pond after a couple of days of these chases ["Flashing"] and give them a rest in a separate container.
They can be damaged as they crash and tear against rocks etc, in the mating frenzy.
Hope this helps.
"Horton"

Horton just a question about identifying the sex of goldfish. Are the females generally bigger than the males is the body shape different? I've never seen anything that looks like the breeding tubercles but I'm pretty sure that the biggest goldfish I have (only about 8 inches) and the two larger mostly blue shubunkins are females--at least they are the ones that get chased around the pond. The wakins I'm not sure of but they are only two years old this year and didn't do alot of chasing last year. Do fish have to be a certain age before they spawn????

Hi Jalal, welcome back to a new season of ponds and fun!
In my experience the female goldfish are slightly larger than the males and more rounder in the abdoment in the spring.

Males also have a ridge that runs down their underside from the head to their vent. Unless you take the fish out of the pond and physically examine it, it is difficult to see this ridge.
Hope this helps,
"Horton"