Logo needs to look good on that website, and will be used for business cards, letterhead, etc. So it must look good in color and in grey scale for times when it is laser-printed.
"Law Office of" can be in smaller print than "Douglas A. Goss" or on a different line or in a different color or offset in any other way. I think I'd prefer a symbol logo of some kind with the name of the firm and slogan. Maybe a "G" for Goss or something indicating law or reliability or authority.
Additionally, would like to include the slogan, which need not be formatted exactly as I typed. Slogan is meant to convey, "We have experience. We are local. We get results." as well as being an invitation for potential clients to "Experience local results." So maybe without periods but somehow differentiated, or maybe without capital letters. I really have no idea.