Dr Tuckett wrote to Greytown Community Board with his thoughts generally over people being left unchecked and these were discussed at a board meeting.
Chairwoman Christine Stevenson said it was an "acknowledged area of concern".
Dr Tuckett said when the problem of people dying alone was noticed in a small town such as Greytown, something ought to be done.
"I realise you cannot intrude in people's lives but it is awfully sad when this sort of thing happens," he said.
"Perhaps it's time the district council got involved, or communities were encouraged to get to know their neighbours and make a point of checking up on those who are alone."
Dr Tuckett said the two deaths referred to were not the only cases he had come across.
"Even when I was in fulltime practice in Greytown we had similar cases.
"They become embedded in your mind and memory."
Dr Tuckett said he wasn't sure what could be done other than to encourage good-neighbour policies but he had put his concerns to paper to see if people could come up with anything.
A keen trout fisherman, he likened it to "casting a fly over water".
If people gave the matter some thought, then "we could end up with some good ideas".
In a letter to Dr Tuckett, Mrs Stevenson said that the board could not see a simple answer to the problem: "Perhaps communication is the key and we need to get the message out to never assume, always check."
She said a new civil defence programme was being worked on and it was hoped to have community board members allocated certain areas to check on in case of emergencies.
It was possible such an approach could develop into a "more defined role".
The community board would welcome any suggestions if Arbor House Trust, which runs a rest home in Greytown, came up with them, Mrs Stevenson said.
