The following statements are taken from An Orthodox Creed, a confession of faith composed by British Baptists in 1679. The confession can be read in its entirety on the Southwestern Baptist Theological Seminary website (//link).
“Neither do we believe, that Infants dying in Infancy without Baptism, go to Purgatory or Limbus Infantum, as they erroneously teach” (XXVIII. Article, Of the right Subject and Administration of Holy Baptism)
“Nor are little Infants, that cannot examine themselves, nor give Account of their Faith, nor understand what is signified by the outward signs of Bread and Wine, to be admitted to this Sacrament” (XXXIII. Article, Of the end and right Administration of the Lord’s Supper, paragraph 2)
"We do believe, that all little Children dying in their Infancy, (viz.) before they are capable to chuse either Good or Evil, whether born of Believing Parents, or Unbelieving Parents, shall be saved by the Grace of God, and Merit of Christ their Redeemer, and Work of the Holy Ghost, and so being made Members of the Invisible Church, shall injoy Life everlasting; for our Lord Jesus saith, of such belongs the Kingdom of Heaven. Ergo, We conclude, that that opinion is false, which saith, That those little Infants dying before Baptism, are damned" (Atricle XLIV, Of Children dying in Infancy)