Writing with interference

I don't know how Jane Austen could write at the dining room table. All I did today (oh, besides the usual cooking, cleaning, and snow removal) was respond to constant cries of "I'm bored!" and "what are you doing?" whenever I started to try to concentrate. My only real writing time is 5:00 a.m. before everybody gets up, but once the kids and hubby get up it's just not happening :(