Did you use a third party uninstaller to remove AdAware? Like IObit uninstaller - letting it do a find the last bit (I forget the term used) removal. Then do a registry clean up to get rid of every last trace of AdAware. This program has caused me all sorts of problems - it stopped me accessing simple web sites, it deleted mail (including one sent by Lavasoft!!) - I'm not a great fan.
I have never had a problem with AdAware until now but this takes me back to the Norton Disk Doctor who should have been sued for malpractice - I uninstalled AdAware and the problem persisted for a couple days and then it just ceased - and has not recurred despite several reboots. My laptop is now booting as quickly as it did when new - so AdAware must have been partially at fault.
Of course now every time I wake up the laptop from sleep I get a bogus message that "computer had unknown error and had to be rebooted" and asks me if I want to send a report to MS - since it is just as quick to click yes as no, I send the report.
I installed IObit - the registry cleaner is NOT free - you have to pay for the upgrade for that, so I was sort of put off by the person that posted that there was a free version when their post was misleading... you need to be more honest in your posts. However, it looks like the free stuff included in IObit is useful so I left it installed for the time being.