Let’s start at the beginning (always a very good place to start) with the sons born to Jacob who had earlier been given the additional name of Israel (Genesis 32:28; 35:10).
Exodus 1:1 “These are the names of the sons of Israel who went to Egypt with Jacob, each with his family: Reuben, Simeon, Levi and Judah; Issachar, Zebulun and Benjamin; Dan and Naphtali; Gad and Asher.” Joseph, of course, was already in Israel, waiting to receive his Father and his brothers. Circa 1876 B.C.
Genesis 46:8-19 lists all the sons of Israel (Jacob and his descendants) born to Jacob by Zilpah: Reuben the firstborn of Jacob, Simeon, Levi, Judah, Issachar, Zebulun, and Gad. Joseph and Benjamin were the sons of Jacob’s wife Rachael and in Egypt Manasseh and Ephraim were born to Joseph by Asenath daughter of Potiphera, priest of On. Jacob dies circa 1859 B.C.
It follows that ALL the tribes born to Jacob’s sons could legitimately be called “the tribes of Israel.” Below are O.T. Bible verses that speak of Joseph’s descendants and how Judah (in the south) was distinct from the northern tribes:
Numbers 26:28: The descendants of Joseph by their clans through Manasseh were 52,700 and through Ephraim were 32,500 (total 85,200). NOTE: Manasseh and Ephraim were the sons of Jacob by Asenath. Joseph and Benjamin were the sons of Jacob’s wife Rachael (Genesis 46:19).
Some Bible translations of 2 Samuel 19:20 say the tribes (or house) of Joseph, but the NLT says “I have come here today, the very first person in all Israel to greet my lord the king.”'
“Shimei son of Gera, the Benjamite from Bahurim, hurried down with the men of Judah to meet King David. With him were a thousand Benjamites... But today I have come here as the first of the whole house of Joseph to come down and meet my lord the king.”
In his haste to be pardoned by the new king, Shimei got himself to the front of the queue and was speaking as the representative for all of the northern tribes, or house of Joseph.
NIV Comment: House of Joseph – a common way of referring to the northern tribes:
1 Kings 5:13 informs us that Solomon conscripted labourers “from all Israel” to build the Temple. In 1 Kings 11:28: Solomon put Jeroboam “in charge of the whole labour force of the house of Joseph.”
Ezekiel 37:19: The word of the Lord given to Ezekiel that Judah and all the Israelites associated with him and Ephraim (belonging to Joseph) and all the Israelites associated with him would become one nation under one king. God will unite the two kingdoms separated since Solomon’s death.
Amos 5:6: “Seek the Lord and live, or he will sweep through the house of Joseph like a fire...”
Zechariah 10:6: “I will strengthen the house of Judah and save the house of Joseph. I will restore them...” This shows that the tribes in the north were referred to as the house of Joseph.
Now we can look at the timeline of events after the 12 tribes settled in the land of Canaan and set up their individual territories. This was around 1410 B.C. when they were ruled by the Judges. From the time of Joshua, Judah was established in the south and the house of Joseph in the north:
“You are to divide the land into seven parts. Judah is to remain in its territory on the south and the house of Joseph in its territory on the north” (Joshua 18:5).
2 Samuel covers events from Saul becoming king (circa 1050 B.C.), through the reign of David (1011 B.C.) and the reign of Solomon (which ended 931 B.C.). In 722 B.C. Samaria fell and this marked the end of the northern kingdom. We now need to go to Psalm 80:1-2
Give ear, O Shepherd of Israel, you who lead Joseph like a flock! You who are enthroned upon the cherubim, shine forth. Before Ephraim and Benjamin and Manasseh, stir up your might and come to save us! (Psalm 80:1-2 ESV)
My English Standard Version Study Bible notes say this:
This is a community lament. The specific tribes mentioned are Joseph (with his sons Ephraim and Manasseh) and Benjamin – the two sons of Jacob’s wife Rachel.... Further, when Psalm 80:1 speaks of the Lord as ‘enthroned upon the cherubim,’ it is describing his place at the ark, in the Jerusalem temple. Thus it is more likely that these tribes are mentioned as a part of the whole people, and the whole congregation owns the distress of the past.
My New Living Translation Study Bible comments that Psalm 80 is a psalm of lament that might originate with the remnant of the northern kingdom after its fall in 722 B.C.
The NLT translation of 2 Samuel 19:20 says Shemei was “the very first person in all Israel” to greet David but I could not find any other reference to suggest the house of Joseph meant all the tribes of Israel. After all, Judah was always referred to as separate and distinct from the other tribes.
This may be inconclusive, but to answer your question, the first mention I could find of the house of Joseph dates back to circa 1410 B.C.
“Judah is to remain in its territory on the south and the house of Joseph in its territory on the north” (Joshua 18:5).
This suggests that the ten northern tribes were collectively known as the house of Joseph. Benjamin, Ephraim, and Manasseh were part of the house of Joseph, but remember that Joseph and Benjamin were full brothers, each with their own descendants.