Luke 2:21-38
"...There was also a prophetess, Anna, the daughter of Phanuel, of the tribe of Asher. She was very old; she had lived with her husband seven years after her marriage, and then was a widow until she was eighty-four. She never left the temple but worshiped night and day, fasting and praying.Coming up to them at that very moment, she gave thanks to God and spoke about the child to all who were looking forward to the redemption of Jerusalem...."
Circumcision. For the origin of circumcision in Judaism read Genesis chapter 16, verse10.
When Jesus was brought to the temple as a baby, a man named Simeon recognized him as the Messiah.
Circumcision, Dietary Laws, Temple.
I can't imagine that he didn't stay close by the whole time Jesus was at the Temple, so it's reasonable to assume that he was there for the circumcision and naming.
When Joseph and Mary brought the baby Jesus form the dedication at the temple ,beside his parents Simon the priest and Anna the old prophetess was there .
Let us take one answer at a time, first Luke Ch. 2 v 21 And when eight days were accomplished for the circumcising of the child, his name was called JESUS, which was so named of the angel before he was conceived in the womb. Verse 22 says 'And when the days of her purification according to the law of Moses were accomplished, they brought him to Jerusalem, to present him to the Lord;' This would indicate that Jesus was brought to the temple in Jerusalem but not on the same day as His circumcision.
They were king david and king Solomon who finished the temple.
Simeon and Anna met Baby Jesus when he was brought to the temple for dedication, 40 days after his birth.
A Mohel
Mary brought Jesus to the temple, before God, to be circumcised, eight days after he was born. Then 33 days after that Mary brought Jesus before the Lord according to the law of Moses, (Leviticus 12,2 to 6)
Jesus was presented in the temple to the priest Simon, as he was dedicated there.
Jesus was first brought to the temple, when he was a baby to be dedicated. and symon and Anna were there.