Gorgo is somewhat right although its not because "the higher ups don't want to be bothered". That's a tad cynical.
The only place that you'll find an independent battery right now is with the reserves. There are three of them, 20th Independent Fd Bty (Lethbridge); 84th Independent Fd Bty (Yarmouth) and 116th Independent Fd Bty (Kenora).
Generally artillery batteries (roughly 120 people give or take) are grouped into regiments of three field batteries and a regimental headquarters and support battery (although that "rule" has been changing dramatically over the last decade or so) The point is that artillery in the UK and Canada was originally formed in batteries which were more or less independent and only started being grouped into at first artillery brigades and later regiments during WW1. Throughout history, batteries are frequently reassigned weapon systems from field guns to air defence to rocket to locating to anti-tank etc etc as needs arise and are frequently disbanded or revived or assigned or reassigned to one regiment or another (several units in fact trace their origins and various phases of their existence as infantry or other types of units)
Most recently, 20 Bty was in fact an air defence artillery regiment designated 18th AD Regt. When the regiment was disbanded early this century, it was determined that there were enough personnel in the Lethbridge area to keep it as a field battery but that it was unnecessary to group the battery into one or the other of the closest reserve artillery regiments (10th in Regina and 20th in Edmonton)
84th Bty has been independent since 1968. Again, the nearest regiment is 1 Fd Regt in Halifax-Dartmouth. In the 1960s 1 Fd Regt had been amalgamed with another regiment and already had four batteries. It was decided at the time to leave the 84th as an independent battery and it has remained that way notwithstanding that 1 Fd is now just two batteries.
116 Bty also has a long history and while brigaded with other batteries during the war has generally been independent for most of its existence primarily because of its distance from other artillery regiments (26th Fd in Brandon MB and 49th Fd in Sault Ste Marie)
You should note, however, that since each of these batteries is independent the batteries frequently operate together in the field as a unit with other artillery units. In fact, 116 Fd Bty Kenora, 26th Fd Regt Brandon and 10th Fd Regt in Regina frequently train together in Shilo MB as the 38th Brigade Group Artillery Tactical Group
http://www.army-armee.forces.gc.ca/en/38-cbg-atg/index.page and the three units have one common commanding officer and regimental sergeant major.