Final answer:
The Pilgrims stayed in Leiden, Holland before heading to the New World, but the specific suburb of London where they resided before their stay in Holland is not mentioned in the provided materials.
Step-by-step explanation:
The student has asked about the location in London where the Pilgrims stayed before they made their historic journey to the New World. The information provided, however, does not contain the name of this London suburb and largely describes their time in Leiden, Holland, their beliefs, and their eventual settlement at Plymouth in the Americas. The Pilgrims, after facing persecution as dissenters from the Anglican Church, arrived in Leiden, where they formed a Congregational Church. They spent a decade there before sailing on the Mayflower to the New World, where they established Plymouth Plantation. Concerns about losing their English heritage among the Dutch and fears of attacks by Spain prompted them to seek a new life where they could practice their religious beliefs freely.