Answer by taking a quote from the following article:

The Lenape (English:  or ), also called the Leni Lenape, Lenni Lenape and Delaware people, are an indigenous people of the Northeastern Woodlands, who live in Canada and the United States. Their historical territory included present-day New Jersey and eastern Pennsylvania along the Delaware River watershed, New York City, western Long Island, and the Lower Hudson Valley. Today, Lenape people belong to the Delaware Nation and Delaware Tribe of Indians in Oklahoma, the Stockbridge-Munsee Community in Wisconsin, and the Munsee-Delaware Nation, Moravian of the Thames First Nation, and Delaware of Six Nations in Ontario. The Lenape have a matrilineal clan system and historically were matrilocal.

New Amsterdam was founded in 1624 by the Dutch in what would later become New York City. Dutch settlers also founded a colony at present-day Lewes, Delaware on June 3, 1631 and named it Zwaanendael (Swan Valley). The colony had a short life, as in 1632 a local band of Lenape killed the 32 Dutch settlers after a misunderstanding escalated over Lenape defacement of the insignia of the Dutch West India Company. In 1634, the Iroquoian-speaking Susquehannock went to war with the Lenape over access to trade with the Dutch at New Amsterdam. They defeated the Lenape, and some scholars believe that the Lenape may have become tributaries to the Susquehannock. After the warfare, the Lenape referred to the Susquehannock as "uncles." The Iroquois added the Lenape to the Covenant Chain in 1676; the Lenape were tributary to the Five Nations (later Six) until 1753, shortly before the outbreak of the French and Indian War (a part of the Seven Years' War in Europe).  The Lenape's quick adoption of trade goods, and their need to trap furs to meet high European demand, resulted in their disastrous over-harvesting of the beaver population in the lower Hudson Valley. With the fur sources exhausted, the Dutch shifted their operations to present-day upstate New York. The Lenape who produced wampum in the vicinity of Manhattan Island temporarily forestalled the negative effects of the decline in trade. Lenape population fell sharply during this period, due to high fatalities from epidemics of infectious diseases carried by Europeans, such as measles and smallpox, to which they had no natural immunity, as the diseases had arisen on the Asian continent and moved west into Europe, where they had become endemic in the cities.  The Lenape had a culture in which the clan and family controlled property. Europeans often tried to contract for land with the tribal chiefs, confusing their culture with that of neighboring tribes such as the Iroquois. The Lenape would petition for grievances on the basis that not all their families had been recognized in the transaction (not that they wanted to "share" the land). After the Dutch arrival in the 1620s, the Lenape were successful in restricting Dutch settlement until the 1660s to Pavonia in present-day Jersey City along the Hudson. The Dutch finally established a garrison at Bergen, which allowed settlement west of the Hudson within the province of New Netherland. This land was purchased from the Lenape after the fact.  In 1682, William Penn and Quaker colonists created the English colony of Pennsylvania beginning at the lower Delaware River. A peace treaty was negotiated between the newly arriving English and Lenape at what is now known as Penn Treaty Park. In the decades immediately following, some 20,000 new colonists arrived in the region, putting pressure on Lenape settlements and hunting grounds. Although Penn endeavored to live peaceably with the Lenape and to create a colony that would do the same, he also expected his authority and that of the colonial government to take precedence. His new colony effectively displaced many Lenape and forced others to adapt to new cultural demands. Penn gained a reputation for benevolence and tolerance, but his efforts resulted in more effective colonization of the ancestral Lenape homeland than previous ones.

How did they deface the insignia?