Font-family is not inherited to the form input fields?

Yes, you need to place the font in the input tag.

input{
  padding:5px;
  font-size:16px;
  font-family:'Lucida Casual', 'Comic Sans MS';    
}

http://jsfiddle.net/jasongennaro/3fkNJ/1/

You can also use inherit to set the font on form fields.

input, textarea, select { font-family:inherit; }

http://jsfiddle.net/jasongennaro/3fkNJ/7/

EDIT – explanation added

Most browsers render text inside form elements as that of the user’s operating system. This is to keep, as I understand it, a common look and feel for the user. However, it can all be overwritten by the code above.