ULLAPOOL.....ULLSWATER.....ULLISH (Ully)

Several historians have claimed the MacAulays of Ullapool and Loch Broom are of Norse descent, due to a possible Norse origin of their surname, and the history and place-names of the lands they inhabited. The surname MacAulay, in the area of the Scottish Hebrides, is thought to be derived from the Gaelic Mac Amhlaoibh or Mac Amhlaidh, which are Gaelic patronymic forms of the Old Norse personal name Áleifr and Óláfr.[1] The small town of Ullapool on the eastern shores of Loch Broom, derives it's name from Olafr bólstaðr (translation from Old Norse: the homestead of Olaf).

http://www.ancestry.com/facts/McCaul...e-meaning.ashx

The name Ullapool shows the Norse influence. Vikings from Scandinavia conquered and settled in the North & West coast of Scotland starting in late C8th. and lasting to the C10th. - 'Ullibolstade' - Ulla's steading.

http://www.pointnorthwest.co.uk/about-ullapool.asp

From Wikipedia
The origin of the name "Ullswater" is uncertain. Some say it comes from the name of a Nordic chief 'Ulf' who ruled over the area[3]; however, there was a Saxon Lord of Greystoke called 'Ulphu's whose land bordered the lake. The lake may have been named Ulf's Water in honour of either of these or it may be named after the Norse god Ullr, also known as Ull.

Richard Warner
Who Were The Ulaid? (The Ully)
The most important of the northern Érainn were known as the Ulaid (pronounced Ully), from which the province got its name (Ulster from Uladhstir, a Norse rendering of the Irish Tír Ulad -'land of the Ulaid').

Celts and Normans by Geariod McGearaitt
In 6,000 B.C. 'Ireland' was covered in dense forests of pine and hazel,oak and elm. About this time the first people crossed over from Scandinavia to Britain and made their way across the narrow sea from Scotland to Ulster.

''Those first Scots from Scandinavia,and the later Picts from between the northern Rhine and Elbe rivers arived in northern ireland in their respective centuries before the Christian era and the former subsequently took their name with them to Alba.''

From Answers.Com
Terminology
The first part of the name Ulster derives from the Irish Cúige Uladh (pronounced Kooi-gah Uh-lah), meaning "fifth of the Ulaid". In ancient times, the island was divided into five regions, with the Ulaid tribes inhabiting this northernmost region. The latter part of the name derives either from the Irish tír or the Old Norse staðr, both of which translate as "land" or "territory".
The Irish word for someone/something from Ulster is Ultach. The Latin word for someone/something from Ulster is Ultonian, which derives from the Latin name for the province, Ultonia. Other words that have been used are Ullish and Ulsterman/Ulsterwoman.

From Wikipedia
Terminology
The first part of the name Ulster derives from the Irish Cúige Uladh (pronounced IPA: [ˈkwɪɟɪ ˈʌlˠu / ˈʌlˠi] or Kooi-gah Uh-lah), meaning "fifth of the Ulaid". In ancient times, the island was divided into five regions, with the Ulaid tribes inhabiting this northernmost region. The latter part of the name derives either from the Irish tír or the Old Norse staðr, both of which translate as "land" or "territory".
The Irish word for someone/something from Ulster is Ultach. The Latin word for someone/something from Ulster is Ultonian, which derives from the Latin name for the province, Ultonia. Other words that have been used are Ullish and Ulsterman/Ulsterwoman.
Many unionists refer to Northern Ireland as Ulster, although Northern Ireland includes only six of the nine counties.