Where to stay in or around Ladornac

Below are a few useful websites for lodging. The first two are perhaps the most useful as they have a complete list of everything in the area closest to Ladornac. Beware- they are in French! You will have to click on 'hébergement' to get to the hotel area. I recomment looking at 'chambres d'hôtes' (bed and breakfast type places that are often very comfortable and reasonable).

http://www.brive-tourisme.com/hebergement

http://www.ot-terrasson.com

http://fr.europa-bed-breakfast.com/html/gite-chambre-hotes-departement_dordogne_24_1.html
This is a very useful website for lodging. It is all in French, but I believe it is fairly self explanatory for a non-French speaker as well. 
http://www.france-voyage.com/en/

A very useful website in English! Here you will find a list of provinces to your left, so click on Aquitane first, then to your right you will see a box, and click on "towns". Followed by clicking on "Dordogne" and then finally La Dornac. From here you will be able to find information on hotels, "gites" (vacation houses for rent), bed and breakfasts, etc. 

Others... 
http://www.francethisway.com/places/a/la-dornac-dordogne.php

http://www.tripadvisor.co.uk/Resources-g187081-Maps-Dordogne_Region_Aquitaine.html