The only place that “washpot” is mentioned in the Bible is in Psalm 60:8 (and repeated in Psalm 108:9):
Moab is my washpot; over Edom will I cast out my shoe: Philistia, triumph thou because of me. (Psalm 60:8 KJV)
Moab is my washbasin,
upon Edom I toss my sandal;
over Philistia I shout in triumph. (Psalm 60:8 NIV)
Here, God is describing how Israel is superior to the surrounding nations. Moab is little more than a washbasin in God’s sight compared to his people Israel. But there is nothing in the verse about anyone being born in a washpot.
But perhaps you are thinking of Jesus who was born in a manger — it’s not a wash pot, though you could suppose it had one in it.