Goose is laying, but burying the eggs...what's going on?

My China girl seems to lay about every 36 hours, so I have to check every day. BTW, since it's her first season, I have been just taking one egg at at time and leaving at least two in the nest (I number them with a sharpie and take the oldest ones), just so she won't get frazzled about losing the eggs. This seems to work real well, since I never have any trouble from her or the gander about taking them when I go out to feed and water them. We don't want goslings this year, so I'm just hoping she doesn't decide to start brooding before I decide to collect up all the eggs at once.

I have one gander that raises all our incubator goslings, he is a pilgrim and took to standing around outside a pen of young geese five or six years ago. He was always in my way when I went to feed or water so one day I let him go into the pen and then they were his babies. Since then we brood until the weather's not snowy or freezing and then we put the youngsters out on sunny days in a pen in the grass run or a pasture. You notice real quick when an adult takes to the babies and hangs out acting like a parent. No other goose has ever been as consistently reliable as a foster parent though, only "Dot" seems willing to take and raise multiple hatches each year.

I have Chinese and African geese. From what I read before buying them they only lay about 20 or so eggs a year. My 5 girls started laying at 5 months and have not stopped laying since November! I get 1 to 3 eggs every day... sometimes 5. They almost always lay inside the barn and burry the eggs. Sometimes it takes a lot of effort to find them, they're hidden so well, but they are always in the same area of the barn.
One of the Africans started sitting on her eggs 25 days ago and I've never seen her leave the nest even once. I leave fresh water by her nest every day and try to feed her by hand but she will only nibble at the feed (she seems to play dead when i approach the nest). I've read that I should remove her from the nest to bathe and eat but i've also been warned that if i remove her from the nest she may abandon it. The eggs should start hatching in the next couple days so i guess i'll just leave her alone.
Today my Super African started sitting on eggs..... anyone looking for African goslings?

What a mess! My three geese that are sitting on eggs keep trading eggs. I marked the eggs but too late... they'd already made a mess. One gosling hatched but the remaining eggs under that goose were rotten. Now all the males are in the barn guarding the one gosling and they won't leave. The three geese are fighting over the one gosling.... argh!!! I wanted them to raise their own young this time but i may have to remove the poor little guy before they love him to death... The two remaining hens seem to be doing a better job than the first one (she never left the nest at all). I hope at least a few more hatch.....

My African and Chinese geese are a riot to watch so i was hoping they would get broody this spring. I couldn't wait to see them with babies. Three Africans laid clutches together then proceeded to spend the next month stealing each others eggs. What a mess! I marked the eggs but every day they were scattered once again. Out of more than 30 eggs only 5 hatched then they abandoned the remaining eggs. I tried to incubate the remaining eggs, most of which had babies in them, but they had already died. The moms then ignored 3 of the babies so I brought them inside for a week. Then yesterday i took them out for a walk and they seemed to have a blast but when I brought them back in they all dropped dead within minutes of coming in..... Really sad... I have no idea what happened to them they had appeared so healthy. Maybe there was something wrong with them and that's why their moms abandoned them.... don't know what caused the sudden death? Any ideas? They didn't eat anything while out doors but did drink from the same water that the other geese were drinking.

I have Chinese and African geese. Last spring they all started laying eggs like crazy, I got over 80 eggs from 5 females before I left them alone to sit on the remaining eggs, 30 or so divided between 3 sitters. The first African built a nest out of dried grass that I gather from cuttings. At first she didn't stay on the nest but after laying about 10 or 12 eggs she got on the nest and never left it until the eggs started hatching. Toward the end two more Africans built nests near the first one and they would spend the day stealing each other's eggs. I tried to mark the eggs but it became too much work to keep them straight. The problem was once 5 goslings hatched all the geese stopped sitting on the remaining eggs and the moms all fought over the goslings. There were two white Chinese goslings even though the Chinese didn't build or sit on a nest. For some reason the geese rejected 3 of the goslings and would chase them away so I brought them indoors. (this part is weird... I took the 3 rejected goslings indoors for about 3 weeks then took them outdoors. I put them in a small pen on the porch, in the shade, and all three died within minutes of going out doors... The weather was warm... they didn't eat or drink anything... so i don't know what happened to them). I ended up with one White Chinese gander, and one African hen. The Chinese that hatched last year started laying eggs a few weeks ago but she laid them where ever she was. I was finding her eggs in the yard in random spots. I think she was afraid to leave the flock to lay. But eventually she did build a nest in the barn. There are about 9 eggs in the nest now. She sits on them all night but covers them and leaves them all day. (I'm afraid the eggs will rot. Last year several eggs rotted).
All the geese are going crazy now, honking and carrying on all night. One gander has kidnapped a female and keeps her separated from the flock. All the males are getting a bit aggressive I guess due to breeding season. When the other hens start sitting I will try to keep them in separate locations to prevent the egg stealing and to keep them on the nests until their eggs have hatched. My geese were very protective of the goslings but not great parents. The mom was aggressive with the goslings and was constantly nipping at them...
I hand raised my first group of geese and they are all attached to me and follow me everywhere I go when I'm outside. The two surviving hatchlings where raised by their parents and won't let me get anywhere near them. So you need to spend a lot of time with them if you want them to be tame.
Good luck with your eggs.

This is my first time ever with geese, we had two mating pairs, 5 months old, given to us because of City ordinance where he lives. So I watch these amazing animals for hours sometimes and it never gets old, I watched the male Chinese white help the female lay the eggs, he actually tried to help pull it out while she was laying. Some people would think that was "gross" but I thought it was one of the coolest things I'd ever seen and my African female lay 2 every couple of days.