Sort Area Around Active Cell By Two Columns

I have various lists of data (using Data > List > Create List...) that do not always have the first cell in the list in column A. I have spent quite a bit of time searching the internet to try and find a macro that will work the same as... Data > Sort > Sort By: Col xx > Then by: Col xy.

Dave supplied me with a macro that will sort a range by the first column:

Sub SortThis()
With ActiveCell. CurrentRegion
.Sort Key1:=. Cells(1, 1), Order1:=xlAscending, _
Header:=xlNo, OrderCustom:=1, MatchCase:=False, Orientation:=xlTopToBottom
End With
End Sub

I have recorded macro that does the same and looked at the code but this uses Range and specifies the cells to be sorted. I have not been able to work out how to modify the code Dave posted to do a minor sort by the second column. I am after a macro that will determine the range (could be a varying number of columns and rows in different places). For however many columns there may be the macro will sort the full width and height by the first column and then the second column, with all the data within a particular row not being split.