I'm sorry, but there seems to be a mistake in the information provided. The case of Presser v. United States is actually from 1886, not 1962. In this case, Herman Presser was convicted by Illinois state law for parading a group of armed men without authorization. He appealed his conviction arguing that it violated his Second Amendment right to bear arms and Fourteenth Amendment rights against states infringing on citizens' privileges or immunities. The Supreme Court upheld the conviction stating that the Second Amendment only limited federal government powers and did not apply to individual states - thus upholding Illinois' ability to regulate militias within its borders under Article I Section 8 Clause 16 (the Militia Clauses) of the Constitution. This decision established an important precedent regarding gun control laws at state level and clarified interpretation of both Second and Fourteenth Amendments until later cases like McDonald v Chicago in 2010 incorporated these protections against state infringement.

I'm sorry, but there seems to be a mistake in the information provided. The case Presser v. United States does not exist for the year 1962. However, there is a Supreme Court case titled Presser v. Illinois from 1886 which dealt with issues of Second Amendment rights and state laws regarding militia service. If you meant another specific case or need information on this one instead, please provide more accurate details.