To baptize my baby Catholic, does godfather and godmother have to be Catholic?

actually both do.

At least one of them do.

Before He ascended, the Lord of the Church commanded us to baptize "all nations," a phrase the Church has always understood to mean "everyone." Matthew 25:31-32 also uses the phrase "all nations" in this way. All nations are to be baptized, regardless of race, color, sex, age, class, or education. Jesus makes no exceptions. He doesn't say, "Baptize all nations except . . .." Everyone is to be baptized, including infants. If we say that babies are not to be included in Christ's Great Commission, then where will it stop? What other people will we exclude?

I just looked up St. Anthony's roman catholic church and it said that at least one godparent must be catholic.

Why would anyone want to baptize an infant, jesus said in Matthew chapter 28 that only someone who is able to understand their faith should be taught about him, you can't teach an infant an infant can't grasp the meaning of faith in God, the infant should be allowed to grow, then be allowed to choose for itself later in life.

Yes, both godparents are required to be Catholic.

Yes that is the usual requirement, they are saying that they will bring the child up in the faith, that would be difficult if they were not. Although I do know of instances when Non catholics have been Godparents to catholic babies. Maybe the Priest did not enquire and the religious requirements of a baptism are pretty much the same as any Anglican Church

That's incorrect - only one godparent is required to be Catholic. And, babies are baptised to forgive them for the original sin they are born with. I always think it's amazing how "Christians" are the most judgemental group of people on earth. That's God's job, not yours. You practice your religion, I'll practice me. God loves us both.