Final answer:
While there were several conflicts involving Mexican forces, including the Mexican-American War and the Mexican Revolution, the specific incident involving the Conservative Mexican Army marching towards Atlixco on 4 May is not detailed in the provided context.
Step-by-step explanation:
The Conservative Mexican Army, marching towards Atlixco, does not directly correspond to the historical context provided. In the narratives given, there is mention of multiple conflicts involving Mexico, from the United States attack on Mexico in the mid-19th century, prominently featuring General Winfield Scott's engagement with Veracruz and the subsequent march to Mexico City, to the internal political strife during the Mexican Revolution between figures like Madero, Huerta, Zapata, Carranza, and Pancho Villa. The most relevant engagements around the date of 4 May seem to be associated with the Mexican-American War, but specific information regarding an event with the Conservative Mexican Army on that date is not provided in the context offered.
During the Mexican-American War, General Winfield Scott led a successful assault on Veracruz and started his march towards the capital, Mexico City. The army he opposed was in a time of great political turmoil, with Santa Anna recently returned from exile to assume the presidency. Notably, the details of a specific engagement on 4 May as the army marched towards Atlixco are not included in the information given, which makes it difficult to provide a factual account of such an event. We can surmise that battles during this period were fierce, with high casualty rates, but without additional context or reference, the question cannot be accurately addressed.