People didn't really have last names then. Joseph was the son of Jacob, son of Matthan. So if Joseph had a "last name" his name would have been kinda like "Joseph Jacobson." Among the Jews of that time, the people were named by their genealogies. That's the reason for all the "begats" in The Bible. In the same way, Jesus would have been known as Jesus Josephson. Just the way they figured out who was who.
This mostly applies to when people were in their home towns. Then everyone knew who "Joseph" was. When people traveled they were normally identified by their home town. That is why Jesus is often called "Jesus of Nazareth." The "Of Nazareth" is also essentially his last name. It distinguished him from all of the other Jesus' of the era, and by all accounts it was a popular name (It still is. It is the same name as Joshua, It just got turned around a little in the translation)
A lot of other contemporary cultures would also identify people by their occupation. Like, "Joseph the carpenter." My reading of the Bible shows the Jews doing this a little less, and when it does occur it is often referring to some one of a different culture. (Culture could also be given to identify some one)
The later points don't really apply to Joseph. The Bible called Nazareth his home town. So most of the people he ran into on a day to day basis knew him or had heard of his father (Or maybe his brothers), and so "Jacobson" probably worked just fine for him; just like it did for much of humanity for a great number of centuries.
Josephs and Marys hometown was Bethelehem.
Magdalene was Marys last name.
Elroy Josephs's birth name is Roy George Elroy Josephs.
his name was hinmato-yalaktit
His name is Colin Craven.
Josephs mothers name is Molly and his fathers name is Kyrlenherthaasop.
The name of the well where Jesus rested is called as Josephs well.
John Josephs was born in 1924.
Janice Josephs was born in 1982.
Michael Josephs was born in 1959.
Fanny Josephs was born in 1842.
Karl Josephs was born in 1950.