An injured bird was spotted in Nuthall after an air rifle or something similar was fired.
Local police were alerted after the incident on Mornington Crescent at 7 am on Thursday May 1.
The injured bird was seen on top of a garage.
The caller who reported the incident said they were concerned as one of the neighbours has young children who play on a trampoline and the alleged shots had been fired in the vicinity.
The caller also stated a similar incident happened last summer but was not reported.
Anyone with information is asked to call police on 101, giving the incident number of 125-01052014.