I think that maybe it's dislocated or sprained. Sounds like she may well have a nest nearby. I'd leave her alone in that case, as she still seems able to get around, and if there is a nest, taking her away would be lethal for the little ones. Also, her mate will miss her. Sometimes it's best to leave well enough alone. However, I love animals/wildlife as well, and would probably keep an eye on things to see if any ducklings appear, and to at least monitor her progress, if any. Sometimes we must trust in nature!

Geese behave much differently than chickens. First, you'll never be able to sneak up on her at night. They can see almost as well as during the day. Second, if by some chance you are able to get close to her, she'll still know that you're there. It will cause all sorts of commotion, scattering both "her" hatched babies and those that you've saved. You'll take the chance that they'll all get lost or chilled. Geese are extremely intelligent, and have social behaviors that are so much more advanced than that of any chicken flock. Probably one of two things happened with this clutch. Either she is an inexperienced mother, and her instincts were satisfied by hatching the first few, even though more were coming, or, two, there were other females who had access to her nest, and they layed after she began setting, so there are actually multiple eggs with varying hatch dates. I have had good luck both ways, introducing newly hatched goslings to a mother even several days after her true brood had hatched, or also introducing young started birds to the group when they were several weeks old. I've even had my flock take in newly hatched babies when there was no female setting. I would introduce them all to the entire flock first thing in the morning when you have a few hours to watch closely that everything is going OK. In most cases it will take only a minute or two before you know if they'll accept or reject them. I've never had well adjusted (non pet) males cause any problems with babies in my flock. The only time that there were issues was when I had too many males, and squabbles between the males who were in the group and those who were kept out have sometimes inadvertently caused problems with young chicks that got caught up in the fighting. Even that has usually worked itself out in a few minutes. All this happens in a pen of almost 3/4 an acre, and I'm sure that plenty of space is a factor in allowing everything to work itself out.

OMG, this is so funny! The exact thing happened to me. We found a tiny kitten walking in our back yard. We took "her" in, even took it to our vet for check-up and the vet pronounced our cat a female. We gave her a unisex sounding name "Suki". But Suki then grew two furry things on her back end and started to "hump" blankets and even acted very affectinately toward our female (spayed) dog. It was so funny. But we explained to our kids and everyone "got it". It wasn't a shock. Don't worry. Just be honest. It's hard to tell when animals are so young. Even a vet can make a mistake.

My phoebes had skipped a year of nesting in their usual place (above the porch light fixture near my office door). My mirror set-up had scared them away. I should have realized that birds do not "like" mirrors -- but I didn't think about it at the time. I did see a bird pecking all day at the mirror, looking behind it, then pecking angrily at it when seeing the "intruder" again. That bird came back the next day to peck at the mirror again. I felt sorry for him wasting his time. But, I didn't think about the phoebes reaction being the same. So, they never nested there last year. I removed the mirror, but they still did not return to nest there this spring. Instead, they nested on another side of the house -- under our raised deck (same as last year). But, after the 1st brood was fledged -- THEY MOVED BACK TO THEIR OLD NESTING SPOT! So, the phoebes apparently got fed up with the disturbances created by our toy poodle (who is let out onto our raised deck several times a day.) The poodle would be walking directly over their nest, and possibly pissing over their nest. The nest building started May 25, 2021 and completed on the 30th or 31st. The mother was sitting on the nest on May 31, and there were 2 eggs in the nest. So, the first egg was likely delivered on May 30. By June 3, there were 5 eggs. All the eggs hatched on June 17 -- so, exactly 2 weeks after the last egg was laid. Interesting that all eggs hatched on the same day, even though each egg was laid a day apart. When I peeked, all the shells were gone. So, even tho I didn't see it, I assume that the parents removed all the egg shells. I also see the parents flying away with baby-bird poop. The poop looks like worms, and the parents carry it away from the nest. They either drop it or eat it (it is undigested food). Today is June 23, and the parents are often very busy bringing food. The bay birds are still too small to see without using a mirror over the nest. Here is a link to a very interesting article from 1937, detailing the observations of nesting habits of phoebes as studied over a 3-yr period. A few interesting details: Female does all the nest building. Incubation starts at varying times - sometimes after 3rd egg, sometimes after 4th, sometimes after 5th. The male apparently does none of the incubation. After fledging, the young birds remain close to the nest, getting farther way as the days pass. Both parents still feed the young after they fledge -- feeding them for periods of up to 18 days. Reliance on the parents gradually decreases. The parents may eventually show harsh treatment of the young to get them to go out on their own. Interesting. https://sora.unm.edu/sites/default/files/journals/auk/v059n03/p0410-p0417.pdf