Dear Mr. Beaumont,
Thank you for posting your request on History Hub!
We suggest that you review these Genealogy: Passenger Arrival List Research Tips and NARA’s page on Immigration Records to learn how to locate immigration information for your ancestors. There are numerous ways that individuals could enter the United States from England such as on a ship that arrived at various coastal ports or over land from Canada, etc. Ship passenger arrival lists were a requirement beginning in 1820, but that does not guarantee that person was recorded or that the list still exists.
Many of the passenger lists have been digitized and are name-searchable online using Ancestry.com and FamilySearch.org. There may be a fee for using Ancestry. Instead, you may wish to contact your local library as many subscribe to these sites, making them free for patrons.
The United States encouraged relatively free and open immigration during the 18th and early 19th centuries, and rarely questioned that policy until the late 1800s. A growing, increasingly industrialized nation needed workers, and immigration was “encouraged and virtually unfettered.” Potential immigrants did not have to obtain visas at U.S. consulates before entering the country. Rather, immigrants would simply arrive at ports of entry where they were inspected and allowed into the country. Please see Early American Immigration Policies for more information.
Before the First World War in England it was not compulsory for someone travelling abroad to apply for a passport. Possession of a passport was confined largely to merchants and diplomats, and the vast majority of those travelling overseas had no formal documents. We suggest that you search for historical passport records at the British Archives site How to look for records of... Passports as well as review the FamilySearch Research wiki for England Emigration and Immigration.
We hope this is helpful. Best of luck with your family research!