Note that many websites have their own advertising, unrelated to adware.
SearchSquire is an Internet Explorer sidebar containing paid links that opens when you use search engines. When using a search engine known to the software, the search terms are forwarded to SearchSquire's own search feature, returning advertisers' links in a sidebar.
SearchSquire/v2 seems also to be capable of opening pop-up adverts on targeted sites.
Go to the Control Panel's Add/Remove Programs option and remove the 'SearchSquire' entry.