The first cow made its home in Jamestown four years after its settlement (settlement 1607, cow 1611). In 1624, cows began to make their way to Plymouth Colony. In 1841, milk traveled by rail-car from Orange County (New York) to New York City.
The first sugar was brought to in cane form by Christopher Columbus to the Americas (now known as Haiti and the Dominican Republic). Given that in the 1750's sugar was highly desirable in England, one could only assume that sugar was first brought over to the mainland by the English from the Caribbean during that period.
Rice, not sticky rice, arrived in South Carolina in 1694 (thought to have come from Madagascar). Sticky rice, on the other hand, is Chinese by origin (it is also known as glutenous rice). Sticky rice came to the United States between 1848-1855 (the California Gold Rush) when Chinese immigrants migrated to the United States as laborers.