Nothing wrong with investigating. I used to work in a security office, so I run "mini background checks" on people all the time.
I've met 2 guys on the net. The first one kept insisting that I meet him in private instead of public. He wasn't forceful, but it was still weird. It turns out sex wasn't the only reason for that--he was engaged and didn't want to risk being seen in public by his fiance or one of her friends
.
The second said he used to be some hot shot football player in college, so I Googled him before agreeing to meet him. He was everything he said he was and things are great
.