Thanks for the kind offer to look into this the next time you get to Toronto. The LDS entries for Peter Tuthill read:
Tuthill, Peter, christened May 25, 1664, (two entries say Axbridge, one says "Ashweek", which I take to mean Ashwick), Somerset, parents John and Dorothy.
There is also an entry for John Tuthill, born abt. 1638, Ashweek, spouse Dorothy.
The individual I'm looking for was transported, (but not listed as "servant" or "convict", as those who were transported for those reasons customarily were), to the colony of Maryland, St. Mary's County. Records in the Hall of Colonial Records, St. John's Campus, Annapolis, MD, list ship's name as "Ye Shippe Michant's Conerd, Carlis Carley, commander." There was no ship recorded elsewhere with this name, but there was a "Merchants Content" which sailed from London to Maryland, recorded October 1 - 19, 1680, Charles Partis, captain.
If the Peter Tuthill of Axbridge or Ashweek/Ashwick, Somerset is the correct individual, his age would be approx. 16 when transported, but the Land Patent system in Maryland, whereby 50 acres of land could be had for every person for whom transportation was paid, known as "headrights", was dismantled in that year, 1680, and so the timing is odd. Neither "Peter Tuttle", nor "Peter Tuthill" show up in any Land Patent records for St. Mary's County, MD, or for that matter, any MD county in the late 1600s that I have seen.
Other possibilities would be: a relative or close family friend paid the cost for transportation out of England to Maryland; this Peter Tuthill was kidnapped into servitude (not as wild as it sounds, happened fairly frequently as indentured servants got harder and harder to find... and they were expensive, too. This scarcity eventually led to the rise of the institution of slavery as a result); or, lastly, he was pardoned for some offense in England and transported, in which case he would have been bound for a period of fourteen years... this would jibe fairly well with the next record of Peter Tuttle's existence in MD, the birth of Peter Tuttle, Jr. (my 6G) in 1695. The year's lag time is significant also. Those indentured or apprenticed, male or female, were strictly forbidden to marry or bear children, and those found guilty of such would have years added to their service as punishment. I'll have to admit, though, that all three of these possible scenarios are pure speculation, and there are major weaknesses in each of them.
I could go on and on, but this should provide enough info to determine if you've come across anything pertinent.