@Erin5112 Of course you have rights- you paid to stay there, the host can't just expect you to pack up and leave for 5 hours because she wants to show the place.
Contact Airbnb customer service Asap and tell them what is happening- ask them to contact the host to tell her she can't tell paying guests, a family with 3 children, that they have to vacate, with all their gear, just so she can show the house to prospective buyers.
And if it doesn't get resolved in time, I'd tell her you have no intention of packing up and leaving so she'd best call off her appointments to show the place.
I don't know how much time you have left on this booking, but I'd be looking for another place to move to, and ask Airbnb to cancel the remainder of tbe booking when you find another place. No way I'd want to continue to stay in the home of such a rude host.