Hexagon grid coordinate system

In the interest of closing the question I've posted this answer, but full credit for the answer goes to Michael Lugo for his comment on my initial Post.

All information comes from this link. It goes into far more detail than this answer.

There are multiple approaches to labeling Hexagon grids, each with advantages and disadvantages.

Offset coordinates

The most common approach is to offset every other column or row. Columns are named col or q. Rows are named row or r. You can either offset the odd or the even column/rows, so the horizontal and vertical hexagons each have two variants.

Cube coordinates

Another way to look at hexagonal grids is to see that there are three primary axes, unlike the two we have for square grids. There’s an elegant symmetry with these.

Instead of having two values per coodinate, representing how far North and South the hexagon is, you can use three dimensions.

Axial Coordinates

The axial coordinate system, sometimes called “trapezoidal”, is built by taking two of the three coordinates from a cube coordinate system. Since we have a constraint such as x + y + z = 0, the third coordinate is redundant. Axial coordinates are useful for map storage and for displaying coordinates to the user. Like cube coordinates, you can use the standard add, subtract, multiply, divide operations from cartesian coordinates.

So for my purposes, the most useful map system was cube coordinates, as they have the simplest and most consistent rules for changing coordinates based movement between cells.