Re: Low supply?
Welcome to the forum!
The best way to know if an older baby is getting enough is to watch her diapers. Pee output is more informative than poop output because many babies aren't pooping every day by 6 months- though if your LO does poop every day, that's an indication of good intake. Don't be surprised if you see long stretches of dry diapers. At 6 months, many babies have discovered that they can hold their urine and this avoid the discomfort of a squishy diaper.
Feeling empty means next to nothing. By 6 months, most moms have a milk supply which is closely match to their babies' demand, and that means that they will rarely if ever feel full.
What have you tried to combat the distractibility?
Coolest thing my big girl said recently: "How can you tell the world is moving when you are standing on it?"
Coolest thing my little girl sang recently: "I love dat one-two pupples!"