WOW!! you certainly have a bit of a problem.(she is very clucky).I have a pet Duck who lays eggs..but luckily for me she is not a problem when taking her eggs..she has a hutch in which she goes into at night..and is very happy to get out of it in the morning..then I just collect her egg!...with your goose all I can suggest is to try and put a towel over her head so she cannot see (to quieten her down..and then move her and have someone ready to take the eggs...good luck..:)
My goose has just started laying for the fist time(for me) and I can't get the eggs away from her. They are unfertilized. I never realised how strong she was until I tried to get the eggs. I'm really a bit afraid of her. Has anyone got any advice?