I have an old Murray riding mower (7-36508) 11/36 with B&S 252707 0620-01 the spring-link came off the carb linkage and I don't know where it used to connect

Hi,
Not quite sure which spring you refer to. Governor or throttle tension, but I do have the link for your IPL(Illustratted Parts List) and please enjoy:
http://bsintek.basco.com/BriggsDocumentDisplay/Z6lttJVJ1DajI.pdf
Peace,
Clarke