The Wellington Hotel was built around the same time that Greenbank's streets were, after the Napoleonic Wars. It was named after Arthur Wellesley, 1st Duke of Wellington, who was Governor of Plymouth and fought in the Waterloo Campaign. The pub closed in 2010 and was turned into a dwelling.
I have drunk in many of the pubs you mention however this story is about my uncle Bill.
If you notice the geography of the pubs they ring the Mount Gould taking advantage of the fact that Alcohol wasn't sold in Mount Gould estate. My Uncle lived in Mount Gould. Having returned to Plymouth after being severely wounded in the Italian Campaign. He had to struggle up to Mutley for a drink to drown the sorrows of the war and the death of all his mates. Lady Nancy Astor MP who was a tee totaller and all around stuck up.... had forbade the building of any pubs or selling alcohol on the estate. Covenants that are still in force I understand. She was his MP, she had called all the men D Day dodgers and having a "mediterranean holiday" and now when he needed a drink most couldn't get one without having to drag his shattered body a mile.
Not sure which pubs he went to at that time. But he liked a drink and would take me to various pubs around Plymouth when I was 16. At Whitleigh, The Tiger and Efford, The Blue Peter and the Rising Sun.
I drank regularly at the Wellie. It was a great pub until an unsavoury crowd moved in. I was working abroad at the time and it was closed when I came back. Same for the Royal Marine at Efford.
The Hillside we drank in sometimes but the Clifton took over from the Welli and then the Provi, which was a cider pub had closed, then reopened and was a favourite watering hole for the Sealed Notters. Small and a great Boutique pub they would call it now.
 The geography of pubs in Plymouth is peculiar because of a number of covenants forbidding pubs in certain areas. The Quaker areas of Peverell and Mannamead have a covenant that stipulates that there should be no pubs. Similarly, St Jude's, Mount Gould and and parts of Lipson are under a covenant by Dame Nancy Astor that pubs should never be allowed to open there. She was a member of the Women's Total Abstinence Union and helped pass a law to raise the legal drinking age from 14 to 18. She sought to change the conditions of impoverished areas of the city and was of the opinion that this could only happen if alcohol was banned. Note that these areas with covenants have social clubs, such as the Saltram Club in St Judes. The location of Greenbank and Mutley Plain in between these areas means they are perfectly situated to attract pubs and drinkers.
 It is alleged that Dame Nancy Astor called the soldiers of the 8th army stationed in Italy 'D-Day Dodgers' because they did not take part in the Invasion of Normandy. Her defenders claim that she never expressed this sentiment; rather, she was replying to a letter by soldiers who had called themselves 'D-Day Dodgers'. Nevertheless, her remarks inspired the song D-Day Dodgers by Lance-Sergeant Harry Pynn, sung to the tune of 'Lili Marlene'.