Could it possibly be meant to be Filleter? (I haven't looked at the page image, but comparison of other letters might help to answer this.)
I haven't found this word in a dictionary, but one meaning of 'fillet', according to the OED, is 'a thin narrow strip of any material'; more specifically, in a Carding-engine, 'a strip of card-clothing'.
Joseph Wright's Dialect Dictionary includes 'filleting' as a West Yorkshire term for 'narrow strips of leather, india-rubber , or cloth, used for covering certain parts of a scribbling or carding machine'. One of his sources is a bit more precise: 'A piece of leather or cloth in which the pins of a carding-machine are fastened, and which is then fastened round a roller.'
Edited to add:
On the other hand, I like the look of Stan's tillotter too (OED has tillet or tillot, and tilloting, but not tilloter).
Another edit:
See my further thoughts at reply #12