Looking ahead to the tie, Baker said he could not really lose due to his connection with both teams, adding he was looking to get "one of those half-and-half scarfs".
"I've seen Chelsea at Wembley so many times… on this one occasion, I would love Vale to go through," he explained.
"I would love to see Vale at Wembley and somehow manage to blag a ticket for that if it happens, in his \[my grandad's\] honour, because he was a terrific character."
Baker said legendary Stoke-on-Trent footballer Sir Stanley Matthews once described Briscoe as his "hero".
An old photograph he found also showed Briscoe playing during the last match between Chelsea and Port Vale in 1928, with the matched ending in a 3-3 draw.
He said the fact the two sides will now meet in the FA Cup quarter finals was "fantastic" and showed the "magic" of the tournament.
"It's brilliant," he added. "I can't wait to see it."