This article is from the Dr. Pepper FAQ, by Christopher Flaherty with numerous contributions by others.
Yes and No; it depends on the time of the year. As stated in the June
5-10, 2000, issue of The Dr Pepper Gazette, "Each year at 10 a.m. on
the Monday before the second Sunday in June," the town of Dublin,
Texas, renames itself "Dr Pepper, Texas" for an entire week. Rita
Reed of the Dublin, Texas, Chamber of Commerce told me on June 8,
1998, that this practice had been going on since either 1993 or 1994
(she wasn't quite sure if it had been going on for 4 or 5 years) as
part of the annual celebration of the opening of the Dr Pepper plant
there--the oldest Dr Pepper bottling plant in the world, which has
been in business since 1891. The celebration itself was first held in
1991 to commemorate the plant's 100th anniversary. So, for one week
out of the year there is a town in the US named Dr Pepper. On the
bright side though, for the rest of the year you still have Dublin.