Bridlington hosted Whitkirk on a boiling hot day and after winning the toss Brid chose to bowl first.
Tom McMeeken removed O’Brien for five, but in-form Murphy reached 29 before he bowled by Casey Rudd for 29.
Another wicket fell to Rudd and this brought Handley to the crease and together with opener Simpson, they added 97 before Handley was bowled by Simon Leeson for 51.
Simpson carried on batting steadily and completed his century in the 48th over and helped his side reach 226/6 at the end of the innings.
The Brid bowlers all stuck to the task well in the warm conditions with the pick being Leeson and Rudd picking up two wickets apiece.
Brid’s reply had got to 20 when Nick Tennant fell for nine. Rudd went with the score on 37, but John Major added a brisk 27 before he was very well caught by Murphy.
With the score on 61/3, the visitors sensed the chance of getting on top but Leeson and Rich Lount batted superbly taking the game away from Whitkirk adding 140 in a chanceless partnership.
Lount fell for 58 but had put he had helped to put his team in a winning position. Leeson carried on and was unfortunately two runs short of a well-deserved century as he finished on 98 not out as he guided his team home with the help of Shaun Tate (17no).
Bridlington gained some much needed points after a disappointing start to their Evening League campaign when they travelled to Wetwang and recorded a convincing win.
Bridlington batted first and made a great start with Casey Rudd (49) and Richard Lount (40) putting 70 on for the first wicket.
Three wickets went cheaply then before Tom McMeeken added a brisk 16 and Tom Hebden (13) and Mike Chatham (12no) helped them to a final score of 143/9.
In Wetwang’s reply, injury forced McMeeken to leave the field after one over, but Richard Lount and Frankie Reffold put in useful stints to destroy the Wetwang batsmen with 3-19 and 4-29 respectively.
Tom Hebden then mopped up the tail with 3-9 to end the hosts reply on 74 all out.