Burlington, VT is in
Chittenden County. There's no Burlington County until you reach New Jersey.
I'm guessing the "cable" at the Super 8 I stayed at in Brattleboro (Windham County) was either a Dish or DirecTV thing. Their crappy lineup carried NESN, the New England Sports Network station for the Red Sox and Bruins. I was told one of those companies rarely carries regional sports networks, if at all. I posted that lineup a few weeks ago here (stayed there the night of May 28th/29th).
Brattleboro is a Comcast town, which was formerly served by Adelphia. From what I understand, they carry these stations:
WCAX-TV (CBS) channel 3 Burlington, VT
WMUR-TV (ABC) channel 9 Manchester, NH
WCDC-TV (ABC) channel 19 Adams, MA
WVTA-TV (PBS) channel 41 Windsor, VT
WEKW-TV (PBS) channel 52 Keene, NH
WGBY-TV (PBS) channel 57 Springfield, MA
Along with the the "Big 4" and channels 38 (MY) and 56 (CW) from Boston/Cambridge. I think they carry Telemundo channel 60 from Merrimack, NH, but I'm not 100% sure.