Dear Neal Cross:
Thank you for posting your question on History Hub!
Many passenger lists are digitized and available through our partner websites. You may wish to search Ancestry or FamilySearch for these records. There may be a fee for using Ancestry. Instead, please check for access at your local library as many library systems subscribe to these sites, making them free for their patrons. A good resource to review is the FamilySearch's wiki for US Immigration Passenger Arrival Records.
Our catalog is also available for researchers to use. You can also try searching for your relative there.
We hope this information assists you in your family research!