The announcement of a death is more usual in a local newspaper [ie paid as an advert by the relatives] rather than an obituary i.e. an editorial feature on a well known or public figure. There are film copies of Plymouth newspapers [suggest The Herald ] in Plymouth Central Library, Tavistock Road, Drake's Circus but unless you have a certain date you cannot expect library staff to trawl through the year and you would need to engage a researcher. Death announcements seldom give the deceased's address but may say loving husband of [ ]wife and father of [ ] children. However the fact that you may establish that the widow was alive [or not] in 2006 may not be of much help as she could have moved away or more importantly you will still not have any address.
Depending where you live some libraries [usually the principal library in a town] have a subscription service to Gales an agency that operates on behalf of the British Newspaper Library with data up to about 2006 so you may if that is the case be able to search the [Plymouth] Herald on line. Due to budget cuts several library services have discontinued the service so you will need to make enquiries.
As an alternative it may be more productive to ask Plymouth City Council Bereavement Services to do a search to see if you can locate a grave or crematorium record, if a grave exists engage a researcher to locate it to see if additional names were added after 2006 eg also loving wife of the above [Name and date]. There is also a cemetery in Plymouth operated by Ford Park Cemetery Trust. Both charge a fee for researching records. An alternative is to purchase a copy of the death certificate which will possibly show the residential address at his death and the informant of death could well be his widow. However purchasing the death certificate would only confirm if the widow recorded her husband's death and there can be no certainty that she is still alive or even that she still resides at the given address.