>When I do the following:
>

Select * FROM SomeTable INTO ARRAY laARRAY WHERE bla-bla-bla

>Is there some way to refer to the columns in the array based on the names of the fields in the table? Or, must I simply know the order of the columns in the table, and use an appropriate index number?
>
You can but I'm not sure if it worth it.

USE (HOME(2) + "\data\products")
Select * FROM products INTO ARRAY laARRAY
AFIELDS(laFields, "products")
* Product Name 
lnRow = 1
lnCol4ProdName = ASCAN(laFields, "Prod_Name", -1, -1, 1,1+2+4+8)
? laARRAY[lnRow, lnCol4ProdName]

Another way

#DEFINE lnCol4ProdNAme 2
? laARRAY[lnRow, lnCol4ProdName]