So Charlotte isn't the name of the pig?

I had a vague feeling what happens in this Newberry book, but not really.  My assumptions were that there was a pig named Charlotte (WRONG) and a spider that made words in webs.  But why this was happening was beyond my reasoning.

This is a lovely little tale by E.B. White that I should have read a long time ago so that every time WIlbur the pig is mentioned I can go--"Oh yes, good one."  Also, it is a 'terrific' story of friendship, where Wilbur finds his true friends, which wasn't Fern by the way.  I guess she grew up.  This was another quick subway reading.