Hello drogers!

There's one school that I know of (via AWS welding school locator)
in Burlington:

Advanced Welding Institute LLC
Kim Beauchemin - Facility Rep
Ed Laprete - Instructor, Richard Irick - Test Supervisor

Address: 2 Greentree Drive, Burlington, VT, 05403 US
Phone: 802-660-0600, Fax: 802-660-0689
E-mail: rick@advancedweldinginstitute.com
Website: http://advancedweldinginstitute.com/main.php?loc=home

Programs offered: Certificate
Note: (not S.E.N.S.E. qualified)
their certification is National Skills Standards System recognized

Hope this helps!!!

Respectfully,
SSBN727
Run Silent... Run Deep!!!