The centenarian, who hails from Madeley and later lived in Dawley, has been a life-long fan of the club and was thrilled by celebrations planned by staff at The Priory Nursing Home in Wellington.
Lawrence puts his longevity down to "luck during the war, the occasional drink of beer, good friends and living sensibly".
Further birthday celebrations are planned by family and friends at the Royal British Legion.
Lawrence said: "I am very fortunate that I have had such good friends in my life."
He still remembers his military service at Monte Cassino during the Second World War and thinking the Italian village reminded him of back home and The Wrekin.
Eighty-one years ago he was one of the troops involved in the epic and bloody Battle of Monte Cassino and in 2019 he was one of the honoured veterans who attended a special Royal British Legion commemorative event at the National Memorial Arboretum.
Monte Cassino, topped by a monastery, was the key to a formidable German defensive position south of Rome and was reduced to rubble by bombing.
It was finally captured on May 18, 1944 - Lawrence's 22nd birthday - after a ferocious battle lasting 123 days and claiming the lives of thousands of Allied soldiers.
However, it has become known as a "forgotten" battle as the victory was soon overshadowed by the D-Day landings of June 6, and the troops in the tough Italian campaign were to call themselves, with grim irony, the "D-Day Dodgers".
Lawrence said that he had arrived in time just as the final push to take the position was under way and was given a gruesome taste of what was in store for him.
"We got to this place and there were dead lads piled up - they had had no time to bury them," he said.
Initially not allocated to a particular unit, he joined the Royal Fusiliers and was to fight with them all the way through the Italian campaign, serving as a Bren gunner.
He said: "All these poor lads had been there a while before me. I was not there until the tail end, when the worst of the fighting was over.
"Every time you went on patrol you thought it might be the last. I lost quite a few mates."
After the war Lawrence married the then Miss Eileen Powell, of Little Dawley in 1952 who sadly died last year, aged 99.
He worked for Sankey's for 30 years, travelling to many car plant sites across the country.
Leah Palin, the 20-year-old administrator at The Priory Nursing Home, said: "We knew he was a keen supporter of Shrewsbury Town Football Club and thought a signed football would be appropriate.
"He is a really lovely gentleman and loves to chat."