Little known and seldom found, the Haulton watchmaker's was made by  Thomas Haulton of Johnstown, PA. One other lathe known to by Haulton was the "Elson", which usually (though not always) had a black crackle paint finish in contrast to the all-nickel finish of the lathe that bore his name.
Of the Webster Whitcombe (WW) type with  50 mm centre height, the Haulton shown below has survived complete with what its owner believes to be its original, stand-mounted original reversible motor, a compound slide rest assembly and the expected hand T-rest. From details of its design - and the motor (if original) - the lathe looks to have been sold during the early years of the 20th century.
Mr Haulton appears to have been something of an inventor is other fields as well, with two patents, one taken out in 1909 refering to the electrical connection of railway track and the other, from 1927 (when he must have been employed by the Penn Machine Company) for something also connected with the transmission of electricity - an improved trolley harp and wheel assembly.
If you have a lathe by Haulton - the regular version or the Elson - the writer would be very interested to hear about it.