Arabic...Baltic...Adriatic...Ceramic...all White Star
Cornishman...Dominion Line
Michigan...Atlantic Transport Line
All three lines---White Star, Dominion and Atlantic Transport---were part of J.P. Morgan's International Mercantile Marine Co. during the time period you're talking about, Huw.
Atlantic Transport, Dominion and Red Star are all covered in Vol. 2 of Haws' Merchant Fleets in Profile, which is unfortunately long out of print. White Star is covered in Vol. 2 as well, but also appears separately in Vol. 19, which I believe is available currently through amazon.uk and/or the Internet Bookshop,
http://www.bookshop.co.uk/
There's also a newly-published history of International Navigation Co., which operated the Red Star and American Lines (and is, in fact, the corporation that later changed its name to IMM), called "The American Line, 1871-1902", but as the title suggests, its focus is on a time well before what you're focusing on. It's by Bill Flayhart, and the ISBN is 0-393-04710-5.
MAB