Majestic Liverpool 1901

Hello: I am trying to find a passenger list for the ship Majestic which left Liverpool on July 3, 1901 and possibly arrived New York July 10-11, 1901. I have tried Ellis Island, and my "passenger" doesn't come up, although I know for fact they were on this vessel...have seen the manifest. (just need better copy) I looked at the NARA lists for this passenger list, but it doesn't actually say the name of the ship...only arrival dates seem to be available with the film #...and the date I found that was closest to what I found here was July 11, 1901...Any suggestions? Thanks for your time, Stacey