I talk about the name's meaning near the end of this message.
For the most part the Tutton/Tuten surname hails from Somerset in the U.K.
Keep in mind that most people could not spell very well prior to the 1900's and Tuten sounds like Tutton (pronounced like button).
There are two major pockets of Tuttons in the U.K.Some are from Yorkshire and most are from the Wedmore area of Somerset.From those two areas they went to the Isle of Wight, Wales, Canada, the U.S. and Australia.
If you go to http://www.tutton.orghttp://www.tutton.org you will find information about the Tuttons from Wedmore.
I have spoken to some Tutens from Georgia who are decended from the Wedmore Tuttons...so trust me about the spelling difference.
As for the meaning...the scholars say that Tutton is a derivative of Thurston, which comes from Thor's Stone...making it of Danish decent (back to about 800 to 1000 A.D.)Remember that the U.K. was under the Roman, Dane and Saxon rule at various times.Though it may sound unlikely to our ears...it is likely that Thurston was the previous version of Tutton...and if you've ever heard the Somerset accent it is easier to believe.