Selectmen were given an answer as to why the Old Rochester School district sent the town a $14,000 check last month, but the money has brought up a new question for the board.

An accounting error resulted in two Rochester School teachers who worked at a summer program being paid from the town’s school budget, not the district budget, Town Administrator Richard LaCamera explained on Monday.

On Oct. 21 the check arrived prompting LaCamera to ask about the repayment.

The program, Summer Adventures in Learning, is open to year round and seasonal residents for several weeks in the summer and collects tuition for each of the two, three-week sessions. Classes are held at the junior and senior high schools.

Those summer enrichment classes are a district initiative, which means the district should have funded the stipends, LaCamera said.

Selectmen Richard Nunes wanted to know more about the discrepancy.

“Do we know how long this has been happening?” Nunes said. “Do we know how long this program has been in effect?”

LaCamera did not know. Chair Naida Parker said the program was worthy, but not the town’s responsibility.

“It’s interesting that [the Rochester Memorial School] has been subsidizing this program. It’s commendable as a public service, but not necessarily for us to pay for it,” said Parker.

Nunes asked if Marion and Mattapoisett officials knew their faculty might be getting checks drawn on town budgets, instead of the district for the summer program.

“Well,” LaCamera said, “that’s their problem.”