Seasonal work, temps and 1099 status: Are we liable for unemployment comp?

Q. We hire seasonal temps and have them sign a policy that says their employment will end on a certain date. We’re aware of the unemployment responsibilities that come with being the last employer on record. If temps are hired with 1099 status, will our company still be responsible as the last employer on record and held liable for unemployment benefits? If we use a temp agency, are we liable? ...