Thanks, Jamey, for helping me. I pinged myself and I got almost exactly what you got - the only difference was that my TTL's were all 50's.
I don't know how to see if the DNS numbers are correct. I went to My Account Manager but it doesn't tell me what the DNS numbers are. It says that the DNS should be DNS1.NAMESECURE.COM and DNS2.NAMESECURE.COM. No numbers.
I have googled this problem and I see that it takes time for a new site to be accessible by
www.domain name. I don't think it should take THIS long, but I sent Namesecure a support request and w'll see what they say. I've been with them for years but, if I remember correctly, they were bought out by some other company and the support quality and time response plummeted. I've often considered leaving them but I'm just a little family website that doesn't demand much expertise. Now I'd like to wordpress blog and that might get busier. : )