OK, I should retract what I said earlier. I thought the menus would come across and, in the testing I performed, they did, so not sure what happened there. However, even though the sidebars should still exist (including any custom sidebars) in the child theme, the widgets in the sidebars appear to be theme specific. So, when you activate the child theme, the sidebars would be empty, which is what you experienced. If you added widgets to the sidebars in your original (now parent) theme, you need to recreate them in the child theme. My apologies for not doing more testing earlier today.