forest
Do you have any idea of William Hills profession or where they had been living in the U.S. ?
I found this very curious entry which includes all the names you have given but has two Elizabeths in a cabin while a William is listed on the ordinary passenger page. Could this be because Elizabeth is travelling with an infant and is also pregnant so for comfort was in a cabin?
The ages for the adults are a bit off but the other information seems to fit:
Ships Name: Lord Gough
Port of Departure: Philadelphia, Pennsylvania, United States
Port of Arrival: Liverpool
Date of Arrival: May 22, 1892
Cabin Passengers: Mrs. Eliz.h Hills age 28 Profession: Lady
Miss Elizabeth Hills age 9/12 infant
Passenger: Wm. Hills age 28 Profession: Engineer
Stranger things have happened

dollylee