By place you mean the exact house or just current name of the village?
Here is some info about Gorajec
http://dir.icm.edu.pl/pl/Slownik_geogra ... Tom_II/692
Looks like it was part of Ordynacja Zamojskich.
http://pl.wikipedia.org/wiki/Ordynacja_Zamojska
But most of the documents were destroyed by Germans during WWII.
Stara Wieś means old village

but it's not a proof.
In some birth records from 1. half 19 century you can find no of the house. But this will not give give you exact locaton on current maps.
In theory it should exist some kind if census of all inhibitants of the village eg KLS (Księgi Ludności Stałej)
one example
http://meldunkowe.genealodzy.p
but for this village I see only documents for 1933 and later
http://baza.archiwa.gov.pl/sezam/ela.ph ... rch=szukaj
Some more info for the gmina Radecznica (county)
http://baza.archiwa.gov.pl/sezam/iza.ph ... y_id=93377
http://baza.archiwa.gov.pl/sezam/ela.ph ... lu]=65&f=0
This should include your village.
There is a chance that the answer is quite easy for local people or is to be found in local real estate or notary documents.
You can try and ask in the local archive in Zamość.