Bisto,
This is a link to South View in Healaugh which you may have already found on the web site
http://www.gunnerside.info/GunnHealaugh/South_View.htm and this is a web page for South Cottage (plus East & West Cottage), described as being half a mile from Healaugh.
http://www.barclayweb.com/DESTINAT/UNITEDKI/RR-SOUTH.HTM These three cottages have been converted from a former farmstead so if you're looking for a building called South Cottage in past times, this won't be it.
Good luck with your search. You could go and stay in South Cottage to do some further research but it does seem to be a rather expensive little place.
Michael