Hi K., I'm breastfeeding my third child and what you say is very common. Babies want to see what else is going on around the house so they eat fast and then look around. I'd say she's not hungry anymore and wait until the next feeding. I wouldn't pump and then give her the bottle. It's easier for children to drink from a bottle than it is to nurse, and you may be teaching her if she doesn't nurse you will give her a bottle. She will begin to breastfeed less and less and your milk will begin to dry up. Pumping usually doesn't stimulate the breast enough to get as much milk as nursing. What I would do when it was extremely too busy to nurse in the living room was to go into my bedroom or into the baby's room and nurse away from all the noise.
My first daughter was an extremely quick nurser(7 minutes max, usually 5 min) and she only nursed on one side at each feeding. So my body adjusted to only nursing one breast at a time. I asked the Dr. if this was ok and she said my baby was gaining weight normally and there's nothing wrong with the way we nursed. If your second breast can't wait, then you should pump, but only enough to feel comfortable, not to empty it. Your body will adjust to the new routine and when she has a growth spurt and wants to eat from both breasts you may have another adjustment phase, but hopefully it will be quick. If your daughter has any weight gain issues, then you may need to nurse more often, but I never nursed less than 2 hours apart. You are doing great.