On the flipside of this, don't let work/church/whatever get in the way of pursuing a girl you're really feeling. I only apply the "don't **** where you eat" rule to a girl I only view as a smash. If you see potential for something meaningful, just go for it.
I know I clowned on you earlier, but if you want my honest advice I honestly don't think she's feeling you like that. If a girl is feeling you and someone asks, they'll usually go quiet and act bashful rather than give a direct answer, and if they gave that "little brother" response they'd make up for it later by making their real thoughts more apparent in private conversations. If I was in your shoes I would take her response as the kiss of death and move on.
I could be wrong, but if you're still going for it and/or want some advice for the future: you need to be more assertive and less available. You can't be there swapping life stories and tales of yesteryear for weeks and weeks before even meeting up face to face. You're turning yourself into a penpal instead of a romantic partner. Keep the chit-chat to a minimum and just ask her out directly.