Final answer:
The delegates' refusal to align their names with the others was likely due to ideological differences and regional disputes, exemplified by the division seen in the 1860 Democratic Convention and earlier historic events like the 1787 Philadelphia Convention.
Step-by-step explanation:
The refusal of some delegates to align with others during the various historical conventions often stemmed from fundamental ideological differences, regional interests, or both. In the historical context provided, three delegates likely refused to align their names with others due to disagreements over key issues, such as slavery, states' rights, or other policy positions that were pivotal at the time.
For example, in the 1860 Democratic Convention, there was a clear division over the platform between northern and southern Democrats, with southern delegates eventually walking out. This led to separate nominations of Stephen Douglas by northern Democrats and John C. Breckenridge by southern Democrats. The Constitutional Union Party also nominated John Bell in an attempt to avoid the impending crisis of secession without taking a strong stance on the divisive issues.
In the case of the 1787 Philadelphia Convention, when discussing delegates Robert Yates and John Lansing's refusal to sign the Constitution, their dissent was due to a belief that the Convention should not create a new plan of national government, fearing that it would centralize too much power and endanger individual liberties.