I am a descendant of the Carberry family and have been researching it for many years.There are several spelling variations, of which Carbery is the most frequent but the same family is also Carbary, Carbray, Carbry, etc., with even more ways for the name to be outright misspelled in records.I have found a relative as Carlery, and other Carberry researchers have found their relatives as Kerbery, Cerberry, and Kirby. Carbury is one possible spelling.
There may be four or more basic families with this name, as the name is found in southern Ireland along the coastal counties and in Scotland,as well as in the Irish Midlands. Of the families in southern Ireland, one is indigenous (native to Ireland) and the other is the Evans-Freke family of England, who were given lands in a Carbery barony (there is an East and a West) of Co. Cork, and they then used Carbery as part of their surname, changing it to Carberry in the early 1900s.
My family is the one in Co. Westmeath, there as chieftains in 400 A.D. and previous.Their surname came into use as the 4th oldest in Ireland, in about 950 A.D.The name spread to the north and west, at least in part due to English activity by which native Irish relocated to the barren and undesirable counties along the northwestern coast. This is the area of Gaeltacht, where Irish is commonly spoken today.It is thought that the original, Irish spelling was Cairbre, a reference to "charioteer."As such, the name was a popular "given" or first name for boys for many centuries before it became a surname.
There is a crest and motto for Carberry, but beyond that I have no knowledge of heraldry.That can be found easily online or in basic reference texts in a library.