When a girl wants to take it further, interest levels etc, whatever her circumstances she'll find a way to see you. She says she's at a funeral, which is more than fair enough, but if there was considerable interest she would have followed that up with "but, I'm free <insertnight> instead!". The absence of that suggests she's either trying to play you, as in sniff you out very early doors to see if you're the real deal or just another AFC, or that she isn't that interested in you.
Seeing that she's replied last, leave it at that and go to the place where she works. Give it a day or two. If she texts you in the meantime, ignore it. Turn up, show her that you're unfazed and that regardless of whether you get something out of it or you don't, the fact that she is there does not bother you. You have to be able to show her that if she flakes, you're capable of walking away. You have to think that right now, she's another "could have been" and that you have no chance with.
The first time she flaked, you should've replied with a simple "okay, no worries, but you're making up for it next time" or along those lines, and left it at that for a few days. As you asked her out again the next day, that sends out the wrong vibe, like you're too eager to be there, that she can get away with flakey behaviour with you. Almost sends out a message that you've not got anything better to be doing with your time, and that your time is too easily gained and not valuable enough. Which then, then suggests you don't value yourself highly enough.
(It's.. mad isn't it?)