The Scots batted first and made 29 runs before Chris Woakes took the wickets of Watts then Bailey. Seven runs later, the England U19 player had his third wicket when Mommsen was caught by Barker.
Before that, Berrington had been caught off the bowling of Carter as Warwicks piled on the pressure.
Matthew Parker made 22 not out but was running out of partners as Ant Botha, Imran Tahir and Boyd Rankin all took two wickets to see Scotland all out for 95 in 29.4 overs.
When Warwickshire batted, Neil Carter hit one boundary before being caught and Keith Barker was out for twelve. However, Darren Maddy made an unbeaten 43 and Jim Troughton chipped with 28 before he was bowled by Lyons to see Warwicks need only 21 overs to make 97-3 and win by seven wickets.
On Wednesday, Warwickshire travel to Southend to play Essex in a County Championship match, needing a victory.