alternatehistory.com

1916-1923: David Lloyd George ("Coalition" Liberal leading Wartime National Government with Conservatives, National Labour and Independent Nationals)
1923-1926: David Lloyd George (Liberal Minority with Labour Confidence and Supply)
1923 def - Andrew Bonar Law (Conservative), J.R. Clynes (Labour), Herbert Asquith ("Asquithians")
1926-1930: George Curzon (Conservative Majority)
1926 def - David Lloyd-George (Liberal-Labour), James Maxton ("Clydeside" Labour), Herbert Gladstone ("True" Liberals)
1930-1931: Austen Chamberlain (Conservative leading National Government with National Liberals and Independent Nationals)
1931-1939: Oswald Mosley (Progressive leading National Government with Labour, Nation First Conservatives and Independent Nationals)
1931 def - Austen Chamberlain/John Simon (National Alliance -- Conservative-National Liberal), Stafford Cripps (Labour), Winston Churchill (Nation First Conservatives),
1935 def - Anthony Eden (New Democratic), Clement Attlee (Labour), Winston Churchill (Nation First Conservatives)
1939-1940: Gwilym Lloyd George (New Democratic Majority)
1939 def - Oswald Mosley (Progressive), Clement Attlee (Labour), Winston Churchill (Nation First)
1940-1948: Gwilym Lloyd George (New Democratic leading Wartime National Government with Progressives, Labour, Nation First and Independent Nationals)
1948-1950: Gwilym Lloyd George (New Democratic Majority)
1948 def - Herbert Morison (Progressive), Winston Churchill (National), Arthur Greenwood (Labour)
1950-1952: Harold Macmillan (New Democratic Majority)
1952-19---: Megan Lloyd George (Progressive Majority)
1952 def - Harold Macmillan (New Democratic), Duncan Sandys (National), Nye Bevan ("Continuity" Labour)

1916 - Lloyd George handles the split in the party better, and the result is that about half stay in the government, so in 1923 the party is able to reunite and wins a narrow minority in the next election despite H.H. and a couple of Asquithians staying separate from the party. This new government falls over an Alt-General Strike in 1926, with Labour splitting between a Christopher Addison led "Moderate" wing and a Maxton led wing which supports the risings in Scotland and the major industrial cities. The Tories win a snap election, but then the Depression hits and Curzon is forced to resign, being replaced by a Chamberlain led National Government which, in turn, leads to Mosley winning out and forming a government to deal with the depression. With his eocnomic measures a success but his appeasement foreign policy is seen as a disaster, and Gwilym Lloyd leads the New Democrats to victory, then the country into a long, brutal, war with Germany and the Soviet Union. The Anglo-Franco-Chinese alliance eventually wins the war, driving the Soviets out of Manchuria and the Western SSRs, but only with Britain dropping an atomic bomb on Moscow. The Prime Minister goes on to win another victory, but the post-war economic malaise and the scheming of his ministers convinces him to resign. His successor Macmillan, in a humiliation for the party as the Nationals suck away votes, loses to his former leader's sister, promising to "Build on the Legacy of my Father and my Brother, and to ensure justice and fairness for all". But with war looming with the Soviet Union, it seems like the sister of the men who won the wars might have to win one of her own...