There are several Donnington places in England at Berkshire, Gloucestershire, Herefordshire, Oxfordshire, Shropshire and West Sussex. A ship would have possibly left from Gloucestershire or West Sussex as each county has a coastline.
The chances of finding any connection to anyone born in 1795 in New Bedford, Mass without knowing the names of the parents or a time frame of their arrival is quite remote. You could probably as a start check the baptisms or marriages in all the parishes in Gloucestershire say 1740 -1794 but this would need much research time. Even if you successfully find an entry with the surname it is very much hit or miss whether you can accurately find a connection of a voyage from England.