First-team captain Tinnion has extended his contract for his 12th term with the Pitching In Northern Premier League N/West Division club.
He has made 304 starts for the club across two spells, scoring 61 goals.
"I think once I knew Danny [Grainger] and Ruddy [Steven Rudd] were staying, there wasn't any doubt that I was - there weren't any long negotiations," he said.
"From a personal point of view, it's obviously good to get it sorted this early and for it not to drag on."
Striker Allison has become the latest player to re-sign, holding the record as the club's joint-third-highest goalscorer.
He said: "I'm obviously happy to sign on again, I spoke to Danny on Sunday and he basically talked over his and Ruddy's plans.
"There's unfinished business from the two years that we've lost, so there was no way that I was walking away or looking to go elsewhere until we've finished what we started - which is promotion."