Stott told BBC Three: "It's weird, it could have been a disaster and now it's a dream.
"We did feel the pressure but for me I thought we needed something to go right today.
"There is nothing taken for granted in this sport and getting to the final was amazing."
Baillie added: "To win is mad and for these boys (Florence and Hounslow) to finish second...The run we had, I was hoping it might be good enough for a medal but I didn't expect that."
More top news
Tonight turning foggy in places but frost free
Governor says Article 50 fears not Bank actions to blame for pound's plunge, but admits markets may yet have "mistaken" Brexit impact.
Conservative MP Zac Goldsmith read out a statement on his decision to force a by-election in protest at new runway at Heathrow Airport.