Answer by taking a quote from the following article:

Emiliano Zapata Salazar (Spanish pronunciation: [emi'ljano sa'pata]; 8 August 1879 - 10 April 1919) was a leading figure in the Mexican Revolution, the main leader of the peasant revolution in the state of Morelos, and the inspiration of the agrarian movement called Zapatismo. Zapata was born in the rural village of Anenecuilco in Morelos State, where peasant communities were under increasing pressure from the small landowning class who monopolized land and water resources for sugar cane production with the support of dictator Porfirio Diaz. Zapata early on participated in political movements against Diaz and the landowning hacendados, and when the Revolution broke out in 1910 he was positioned as a central leader of the peasant revolt in Morelos. Cooperating with a number of other peasant leaders he formed the Liberation Army of the South of which he soon became the undisputed leader.

Meanwhile, the disintegration of the revolution outside of Morelos put pressure on the Zapatistas. As General Arenas had turned over to the constitutionalists, he had secured peace for his region and he remained in control there. This suggested to many revolutionaries that perhaps the time had come to seek a peaceful conclusion to the struggle. A movement within the Zapatista ranks led by former General Vazquez and Zapata's erstwhile adviser and inspiration Otilio Montano moved against the Tlaltizapan headquarters demanding surrender to the Carrancistas. Reluctantly, Zapata had Montano tried for treason and executed (Womack 1983-86).  Zapata began looking for allies among the northern revolutionaries and the southern Felicistas, followers of the Liberalist Felix Diaz. He sent Gildardo Magana as an envoy to communicate with the Americans and other possible sources of support. In the fall of 1917 a force led by Gonzalez and the ex-Zapatista Sidronio Camacho, who had killed Zapata's brother Eufemio, moved into the eastern part of Morelos taking Cuautla, Zacualpan and Jonacatepec.  Zapata continued his work to try to unite with the national anti-Carrancista movement through the next year, and the constitutionalists did not make further advances. In the winter of 1918 a harsh cold and the onset of the Spanish flu decimated the population of Morelos, causing the loss of a quarter of the total population of the state, almost as many as had been lost to Huerta in 1914. (Womack 311). Furthermore, Zapata began to worry that by the end of the World War, the US would turn its attention to Mexico forcing the Zapatistas to either join the Carrancistas in a national defense or to acquiesce to foreign domination of Mexico. In December 1918 Carrancistas under Gonzalez undertook an offensive campaign taking most of the state of Morelos, and pushing Zapata to retreat. The main Zapatista headquarters were moved to Tochimilco, Puebla, although Tlaltizapan also continued to be under Zapatista control. Through Castro, Carranza issued offers to the main Zapatista generals to join the nationalist cause, with pardon. But apart from Manuel Palafox, who having fallen in disgrace among the Zapatistas had joined the Arenistas, none of the major generals did (Womack 313-14). Zapata emitted statements accusing Carranza of being secretly sympathetic to the Germans (Womack 315). In March Zapata finally emitted an open letter to Carranza urging him for the good of the fatherland to resign his leadership to Vazquez Gomez, by now the rallying point of the anti-constitutionalist movement (Womack 319-20). Having posed this formidable moral challenge to Carranza prior to the upcoming 1920 presidential elections, the Zapatista generals at Tochimilco, Magana and Ayaquica, urged Zapata not to take any risks and to lay low. But Zapata declined, considering that the respect of his troops depended on his active presence at the front (Womack 320-22).

Did they capture any other territory or peoples?
Carrancistas under Gonzalez undertook an offensive campaign taking most of the state of Morelos, and pushing Zapata to retreat.