You may find the following website interesting:
http://www.geocities.com/nadineholder/Entriken.html or
http://vidas.rootsweb.com/entrekin.html [...One of the barrier ridges northward is pierced by the narrow gloomy pass of Enterkin, through which the sister vales of Nith and Clyde keep up precarious intercourse....]
the above text is taken from the following website:
http://www.electricscotland.com/history/dumfries/history1.htm Your name is of Scottish origin. I've searched from variant to variant (Entrikin, Entriken, Entrican, Entrekin and Enterkin). It points to Scotland at the end. The name Enterkin is a place and a pass in Scotland. There is a record of a William of Enterkin Dunbar, a Scotsman. You'll find it on the following website:
http://personal.nbnet.nb.ca/swerner/radical/undertakers.html Many other variants: Entricken, Entrickon, Entricon, Entrecan, etc.
The meaning i can't find. At first i thought it might be from Hendrick, but this seems very unlikely, because there are less variants starting with
end- than with
ent- . There is the English word
entrick which means 'to trick, perplex'. Maybe this is the meaning of the placename.
Here another site about the Entrekin family:
http://www.geocities.com/byronic106/entriken.html This leads to more variants: Entrieken, Entriekin, Entergun and Antrican.
[...To the left in amongest the hills is the Enterkin Pass where in 1684 Covenanters ambushed a party of Dragoons....]
I talked about it with someone else why someone would name himself after a pass. He had the brilliant idea that in the old days those passes were often guarded and thus inhabited. This might mean that your ancestor was a guard at this pass.
The following website is about the Enterkin Pass:
http://www.rsf.org.uk/routes/scotland05.htm This website tells about the place where 'the lands of Enterkin' are (search for 'enterkin'):
http://members.tripod.com/bob_newcumnock/duncumnock/welcomex.html Summary: because of the appearancies of "of Enterkin" before 1700, this leads to a place called Enterkin. Whether this place is the Enterkin pass or an area in Ayr County is unclear. If you want to be sure about that, you might try to get contact with Scottish institutes about the history of Scotland. They might know more.
The following website takes a while to load, but it contains a search option and five other useful links for you:
http://www.scan.org.uk/knowledgebase/search/gazetteer_indexnew.asp