Back in the '70 my dad used to take us crabbing to Kemah, man was I surprised when we visited there in 2000! Times have changed...real nice little (yet crowded) community.
Good luck!
League City is on the south side of Clear Lake. Take a look at this: http://www.chron.com/content/chronicle/special/05/hurricane/index.html
My folks live in League City, it's just down the road about 15 minutes away. Yes, Kemah has changed in a very good way (except for the traffic). It's no longer the dirty little fishing village it was back in the early 70's.