Times have changed and so have the technological aspects of the industry. Your web design company might have also gone under a lot of changes. Some of these include the availability of better fonts and the change of HTML to HTML5.
There is a difference between a web design company and a web development company. Web design refers to the visuals of the website while developers have to deal with the functionality of the website. You must understand the difference before hiring any of these services.
The discriminating factors between a logo design company and web development company have bridged to a great extent. The overlap has made it easier for businesses to rely on a single company for both services.