Whoa, I may have an answer. I tried everything. My Winsock turned out to be OK.
Here's what I did. I'm using the latest version of Firefox. Go into about:config. Don't mess around in there if you are not a knowledgeable computer person. I certainly am NOT. There is a function in there called network.prefetch.next that is set to true by default. This gets all the links on the loading page to pre-load in preparation for being used. We all know how many links an Ancestry page is liable to have. So Kaboom! I toggled this function from True to False. Zipping along quite well now. No, hangs no double fire loading.