As long as the refernces do not indicate a problem, I would allow my son to date someone based on a report like that. I would if at all possible like to have my wife be able to see her at a neutral venue (a chasseneh, in shul, ect) just to get a visual. Not a formal intro; just a visual. It ties the tech data together so you have a credible idea of who she is.
Nothing takes the place of a date though. But if my son is serious about getting married, he should be willing to invest his time and energy, just like she is.
After all, she checked him out, no doubt. (and hopefully, poppa has eyeballed my son as well)
If she thinks he is worth her time and kishes, he should be willing to do the same