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My "ordering list" is just a numerical list given the desired order of the other list. For example {3,1,2} to order {a,b,c} to give {c,a,b}. In that case the solution described by Hans Milton works. If you had other things besides numbers in that...
The above listing is my first attempt on this forum, so I'm not up to speed on the details of how to enter something. But i see that although I typed in the line  Solve[g1[x]==0,g2[x==0,{x,y}] somehow the [x] got left off immediately after g1 and g2....