Named, of course, after your fine town. There are plenty of Lancasters in the US, but to my knowledge, ours is the only one pronounced LANC-a-ster (the others are Laang-CAS-ters.) The Red Rose city pays annual rent of one red rose in an elaborate ceremony.
Lancaster is the oldest inland city in the US (chartered as a city in 1742). Was the home of a US president (James Buchanan) & our county is a major tourist destination because of the Pennsylvania-German (Amish & Mennonite)population.
We have but one "English Pub" named "Quips" where one can enjoy bangers & mash, cottage pie, & of course fish'n'chips (don't know how authentic they are!). New Castle brown ale on tap.
We also have a city named York about 30 miles away (the White Rose City). We have annual "War of the Roses" sports rivalries with them.
Please visit us if ever in the 'states.