Given the following context:

Lying within the historic county boundaries of Lancashire since the early 12th century, Ashton anciently constituted a "single parish-township", but was divided into four divisions (sometimes each styled townships): Ashton Town, Audenshaw, Hartshead, and Knott Lanes. Ashton Town was granted a Royal Charter in 1414, granting it the right to hold a market. All four divisions lay within the Hundred of Salford, an ancient division of the county of Lancashire.
In 1827, police commissioners were established for Ashton Town, tasked with bringing about social and economic improvement. In 1847, this area was incorporated under the Municipal Corporations Act 1835, as a municipal borough with the name "Ashton-under-Lyne", giving it borough status. When the administrative county of Lancashire was created by the Local Government Act 1888, the borough fell under the newly created Lancashire County Council. The borough's boundaries changed during the late 19th century through small exchanges of land with the neighbouring districts of Oldham, Mossley, Dukinfield, and Stalybridge. In the early 20th century, the Borough of Ashton-under-Lyne grew; Hurst Urban District was added in 1927, parts of Hartshead and Alt civil parishes in 1935, and parts of Limehurst Rural District in 1954. Since 1956, Ashton has been twinned with Chaumont, France.Under the Local Government Act 1972, the town's borough status was abolished, and Ashton has, since 1 April 1974, formed part of the Metropolitan Borough of Tameside, within the metropolitan county of Greater Manchester. Ashton-under-Lyne is divided into four wards: Ashton Hurst, Ashton St. Michaels, Ashton St Peters and Ashton Waterloo. As of the 2012 local elections, all twelve seats are held by Labour councillors.Since the Reform Act 1832 the town has been represented in Parliament as part of the Ashton-under-Lyne parliamentary constituency. During its early years the constituency was represented in the House of Commons by members of the Liberal Party until the late 19th century, when it...

answer the following question:

What is the full name of the newly incorporated borough whose boundaries changed during the late 19th century through small exchanges of land with the neighbouring districts? 

Ashton-under-Lyne