Nice suggestions guys.
GeckoEcho, we wouldn't have used Windows' version of the remote desktop connection. I've used it before over a LAN. Even then I had much delay. 3rd Party software would be the realistic solution if we were to take that route.
I had already emailed one of the developers of the software and they said that they had set up a WAN for a hospital that used a modified version of their software. They did say, though, that it wouldn't make sense for a smaller daycare as us to do this.
I've never, myself, started a VPN. I've seen some in action and they looked to be quite handy. After installation, it looked to run pretty smooth from what I saw.
I do believe we came up with a solution to this though. We'll have the software installed at 2 sites. One here where I am, and another where the second location is. It's a bit less convenient, but they'll transfer all of the main financial records through fax or email. I guess all of the other information such as client info etc. doesn't need to be accessed here locally. So the remote connection, would be handy, isn't needed.
As stated before, thanks for the suggestions. I'll keep these in mind pending they do decide they would like this sort of access to information.