Bridlington’s lingering hopes of promotion were practically ended when they only took seven points when their last pair held out for a draw at Whitkirk on Saturday.
The home side’s 224/6 contained two big innings from Mark Murphy who hit 88 and Webb who made 76.
John Major had 3-27 for Bridlington and then followed with 25.
Team-mate Casey Rudd figured with 39 and Steve Janney made a similar contribution but Webb claimed 3-33 and Flynn 3-45 to reduce Bridlington to 159/9.
Eleventh-placed Malton and Old Malton also recorded a good win on Bank Holiday Monday when they beat Bridlington 1sts by three wickets in a result which gives them hope of avoiding relegation.
Bridlington were grateful to the two Leesons who both made runs in a below-par total of 121 with Simon making 34 and Andrew 28.
For Malton, Wayne Dawson and Chris Hudson both had returns of 3-21.
Dawson then followed with 43 and Shaun Harland added 31. Sam Edmondson captured 4-25 but Malton went on to win at 122/7.
Bridlington 2nds put in a solid performance in their penultimate game of the season against struggling Ryedale.
After winning the toss and inviting the visitors to take first knock, a good performance by all the bowlers saw Ryedale dismissed for 118, although they almost managed to see out their full quota of overs.
Elliot Traves was again very accurate and made early inroads and Tom Hebden was also very controlled in earning tidy figures.
Bridlington openers Greg Miller and Harry Burnhill gave no one else a chance as they reached their target, both unbeaten, in less than 30 overs with two fine batting performances.