Future alcoholic?

Ember is quite fond of the pub - no prizes for guessing where she gets that from!  But it can get embarrassing (amusing!) at times, for example:

Walking past the pub one weekend, about 11am on a fine day with lots of people on the veranda:
Em:  Look!  That's the pub! Daddy goes there!  Do you want a beer Mummy?
Me: Um, no, not quite yet, thanks.

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One morning, getting ready to go to the library:
Em: Are we going to the pub? Is the pub open?
Me: No! It's still morning.
Em: The pub doesn't open in the morning?
Me: No.  Well, it does, but only for breakfast.

Later that week:
Em: What's the time?
Me: It's 10.30
Em: Is it lunchtime?
Me: No, it's morning.
Em: What's morning?
Me: Morning is the part of the day from when we get up until lunchtime, then it's afternoon until dinnertime and then it's night time.
Em: Oh. Afternoon is when the pub is open? And morning is just for breakfast at the pub?
Me: (laughing) Yes!
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Today, coming up the driveway of a friend's house and realising we could see out over the town centre:
Em: (very excited) Look! I can see the pub roof!

I wonder if it's something to do with being half British?!