Could Luke 3 be Joseph's genealogy?

I am considering the possibility that Luke 3 is in fact the genealogy of Joseph and not Mary. Here is why... 1. Luke mentions the circumcision and the naming of both Jesus and John on the 8th day in Luke 1:59 and Luke 2:21, which would have us think that there is a strong tradition when it comes to naming children and that it is going to be named after names already in the family. (Luke 1:59-61) "And it came to pass, that on the eighth day they came to circumcise the child; and **they called him** **Zacharias, after the name of his father.** {60} And his mother answered and said, Not so; but **he shall be called John. {61} And they said unto her,** **There is none of thy kindred that is called by this name.**" 2. We know that some of the children of Joseph and Mary were these, (Matthew 13:55) "Is not this the carpenter’s son? is not his mother called Mary? and **his brethren, James, and Joses, and Simon, and Judas**?" 3. Now let's look at the names in the genealogy in Luke 3. (Luke 3:23-31) "And Jesus himself began to be about thirty years of age, being **(as was supposed) the son of Joseph**, which was the son of Heli, {24} Which was the son of Matthat, which was the son of Levi, which was the son of Melchi, which was the son of Janna, which was the son of **Joseph**, {25} Which was the son of Mattathias, which was the son of Amos, which was the son of Naum, which was the son of Esli, which was the son of Nagge, {26} Which was the son of Maath, which was the son of Mattathias, which was the son of Semei, which was the son of **Joseph**, which was the son of **Juda**, {27} Which was the son of Joanna, which was the son of Rhesa, which was the son of Zorobabel, which was the son of Salathiel, which was the son of Neri, {28} Which was the son of Melchi, which was the son of Addi, which was the son of Cosam, which was the son of Elmodam, which was the son of Er, {29} Which was the son of **Jose**, which was the son of Eliezer, which was the son of Jorim, which was the son of Matthat, which was the son of Levi, {30} Which was the son of **Simeon**, which was the son of **Juda**, which was the son of **Joseph**, which was the son of Jonan, which was the son of Eliakim, {31} Which was the son of Melea, which was the son of Menan, which was the son of Mattatha, which was the son of Nathan, which was the son of David," Now in this genealogy we have Joseph named multiple times and Jose, Simeon and Juda which are all names of Jesus's brothers. When we compare this to the Genealogy in Matt which shares no names with Jesus relatives, it is clear to me that Luke 3 is more likely the genealogy of Joseph. It also mentions in Luke 3 that Jesus was as supposed the son of Joseph, but then goes on to say Joseph was the son of Heli, which appears that the genealogy is about Joseph.