Awww, she was beautiful, so is your daughter. We just fixed our gates. She was able to squeeze under the gates to get into the pasture, so we lowered them so she couldn't get in any more. Couldn't you do something like that? Or do yours free range? If they free range something else might get them anyway. Dogs are just doing what comes natural to them, unfortunately. We blame ourselves for allowing her to get out and not noticing.
I hope your other goose heals quickly.
I hope your other goose heals quickly.