This is up from 468 that the bureau found asking for help in the same period the previous year.
According to the Oxford Mail, families were already saying that they are struggling to pay for their gas and electricity before the heavy snowfall last month.
Sharon Brown, who lives with her husband and three-month old daughter in Carterton, revealed that her last quarterly gas bill topped £150 and her electricity bill was £60 for four months.
"We both go without everything else that we used to buy, like clothes. I have got a lot of maternity clothes I'm still wearing, as I just can't afford new clothes," Ms Brown told the paper.
Guide2Bristol reported that local double glazing companies may be able to help in reducing energy bills by fitting energy-saving UPVC windows and doors.
Click here to run an energy price comparison, and see if you could be paying less for your gas and electricity.