Looks like "Dÿrring" to me. The letter "y" was in the 18th century often written with two dots on top - just like "u" was, though not as today to make it into a "German u" (i.e. a "ü") but just to distinguish it from "m" and above all "n", with all those loops. I have no idea what the dots on top of "y" was for, but I've seen it a lot where we today would only write a normal "y".
Googling "Dÿrring" I find a Danish 18th century family. And there're 214 modern-day Swedes with the family name Düring.