Not a distilled drink but found potato wine recipes as follows:

Ingredients.
4 lb OLD potatoes, 1lb Wheat*, 1 Lb raisins/sultanas, 2 lb dark sugar, 2 lb white sugar, 4 oranges.---plus usual adjuncts, HAT yeast, yeast nutrient, acid, tannin, Vit B1, Pectic enzyme, Amalyse Enzyme ( Harris Super Enzyme contains both ).
*Either whole or cracked preferably.
Method.
Wash sultanas in hot water, mince/chop up, , wash skin of oranges and "peel/zest" skin, discarding white pith, place peeling in saucepan covered with 1 pt water bring to boil removing scum, wash/scrub OLD potatoes removing eyes black spots infected cuts, bad flesh--DO NOT PEEL-- chop up place in saucepan cover with 3 pt waterslowly bring to boil for 5-8 mins removing scum watching they don't get mushy !! Strain hot liquor onto 2 lb dark sugar in bucket, stir to dissolve, add liquor from zest, juice and flesh of oranges, minced sultanas and cracked wheat, stir to mix thoroughly, add 3 pints boiled water, allow to cool, check gravity about 1.090 ferment in bucket 5 days, strain off under airlock, S.G below 1.015, add 4 oz white sugar, after 7 days S.G below 1.015 add 4 oz W/sugar, after 10 days S.G below 1.015 add 4oz W/sugar allow to fall to 1.000 then continue to add W/sugar in 2 oz till yeast exhausted don't go above 1.005, ideally finishing 0.998-1.000 after several weeks, rack stabalise and set aside for 6 months.

There was also another version, take a look here

The site has loads of great recipes