If you are a Congregational Methodist, the best person to ask would be a Methodist minister, IMOHO. He could fill you in on the requirements, such as both parents agreeing to the baptism. Do you want your daughter to be baptized Catholic? That part confuses me.
Awhile back, a Catholic man posted here that his Methodist wife would consider nothing but a Methodist baptism for their son, after she promised to raise any children of the marriage as Catholic; in fact, the wife wanted two baptisms as a compromise (wrong on all counts). He, of course, wanted it in the Catholic church. The United Methodists had a web site that had the information he needed to convince her (somewhat reluctantly, to my memory) that the water could be poured in the Catholic parish without any qualms and “count” for the Methodists, who would offer a welcoming prayer for the baby in regular services after the Catholic baptism.
While the story doesn’t help you, the web site might. It’s
umc.org/site/c.lwL4KnN1LtH/b.1353935/k.BE6A/Home.htm.
If you are looking for specifics of infant baptism in Scripture, they start in Acts with “whole household being added to their number”. That will take a little homework on your part. You can check with Open Bible or whatever you use on the Internet. The Catholic Catechism lists Colossians 1:12-14, but I don’t see how that one is going to convince your wife.
This is what our catechism states, but again, I don’t see how it’s going to help you:
The Baptism of infants
1250 Born with a fallen human nature and tainted by original sin, children also have need of the new birth in Baptism to be freed from the power of darkness and brought into the realm of the freedom of the children of God, to which all men are called.
50 The sheer gratuitousness of the grace of salvation is particularly manifest in infant Baptism. The Church and the parents would deny a child the priceless grace of becoming a child of God were they not to confer Baptism shortly after birth.
51
1251 Christian parents will recognize that this practice also accords with their role as nurturers of the life that God has entrusted to them.
52
1252 The practice of infant Baptism is an immemorial tradition of the Church. There is explicit testimony to this practice from the second century on, and it is quite possible that, from the beginning of the apostolic preaching, when whole “households” received baptism, infants may also have been baptized.
53Faith and Baptism
1253 Baptism is the sacrament of faith.
54 But faith needs the community of believers. It is only within the faith of the Church that each of the faithful can believe. The faith required for Baptism is not a perfect and mature faith, but a beginning that is called to develop. The catechumen or the godparent is asked: “What do you ask of God’s Church?” The response is: “Faith!”
1254 For all the baptized, children or adults, faith must grow
after Baptism. For this reason the Church celebrates each year at the Easter Vigil the renewal of baptismal promises. Preparation for Baptism leads only to the threshold of new life. Baptism is the source of that new life in Christ from which the entire Christian life springs forth.
1255 For the grace of Baptism to unfold, the parents’ help is important. So too is the role of the
godfather and godmother, who must be firm believers, able and ready to help the newly baptized—child or adult—on the road of Christian life.
55 Their task is a truly ecclesial function (
officium).
56 The whole ecclesial community bears some responsibility for the development and safeguarding of the grace given at Baptism.
http://www.usccb.org/catechism/text/pt2sect2.htm#art1