I guess you have now seen the Claypole baptism records yourself ... if not look here
http://www.lincstothepast.com/Baptisms/558174.record?ImageId=130903&pt=TInteresting to note
16 Aug 1813 SUTTON of Claypole Mill (Wheelwright)
26 Dec 1813 HARDY twins of Claypole Mill (Book-keeper)
14 Jan 1814 ATKINSON of Claypole Mill (Blacksmith)
13 June 1814 MABBOT of Claypole Mill (Flax-dresser)
13 June 1814 SESSIONS of Claypole Mill (Weaver)
14 Aug 1814 WELLBON of Claypole Mill (Heckler?)
16 Oct 1814 HARRISON of Claypole Mill (Bleacher)
etc
Interesting that the BAKER entry you mention gives no occupation

Anyway, it seems there was a place/area called Claypole Mill where lots of people lived and worked. Some of the occupations certainly suggest (as Alan mentioned) Flax.
To add a further twist to proceedings, on the First Edition OS map, what we are now calling the "Water Mill" is shown as "Cotton Mill"
