Dude, ten years ago it would've been rude of you to even suggest splitting the bill, let alone making her pay for a whole date.
Chivalry don't happen any more.

But sure, I can see it from your point too - nobody likes being taken for a ride and it would be a humiliating kick in the nuts for it to go all wrong and realise that she only pretended to be interested in you to get a free feed.

My advice? This world is all about how you read people. How genuinely interested does she appear to be in you? If you're sure something solid is developing, hang the money issues and start dreaming of a condo for two!

I definitely like Lou's suggestion - a moneyless date. Walk on the beach (cliche though it is) or a simple coffee and a chat should sort out her interest. If she starts turning down the free stuff and hints heavily at the 'buy me a fur coat' type deal, reassess your options.

__________________
You know, Blackadder, for me socks are like sex. Tons of it about and I never seem to get any.

My Photos:
https://imgur.com/a/80hiRdm