Dear Ms. Swing,
Thank you for posting your request on History Hub!
The National Archives and Records Administration has immigration records for various ports for the years 1800-1959, but there are few organizations who have archived immigration documents prior to the Revolutionary War. The Pennsylvania State Archives holds immigration records from 1727 - 1868. Please visit their webpage for more information. We also suggest that you contact the National Archives UK’s Research Guide to Emmigration and Emigrants. There are several sources that apply to your interest there.
In addition, the book titled Ship Passenger Lists, Pennsylvania and Delaware (1641-1825) by Carl Boyer may provide the information you seek plus other resources. Please see this WorldCat listing to locate a library near you who may have it in their collection.
We hope this is helpful. Best of luck with your family research!