I'd like to populate two columns of a table of values string parameter in a custom Python tool (non Python toolbox) with fields names from two other parameters. In the example, the first column would have a list of fields from parameter 0, and the second column a list of fields from parameter 1. I only have the option of choosing one dependency in the parameter list (of which works great) but I also need the other parameter. How should Value Table parameters be handled in the validation script so each column's filter list can be defined?

def updateParameters(self):
# Modify parameter values and properties.
# This gets called each time a parameter is modified, before
# standard validation.
if self.params[0].altered and self.params[0].value:
source_field_list = [f.name for f in arcpy.ListFields(self.params[0].value)]
if self.params[1].altered and self.params[1].value:
target_field_list = [f.name for f in arcpy.ListFields(self.params[1].value)]
return
This gets the two field lists but just need to figure out how to give them as options in both columns.