When I initially made this post, I did not expect it to get this many replies.
Anyway, I will address some of the objections some have had against my use of the Roman Catechism.
Firstly, the Roman Catechism, while not infallible, was still authoritative and binding for all Catholics at the time it was promulgated. In Catholicism, dogma does not have to come from infallible sources in order for it to be binding.
Secondly, the Roman Catechism states that one is able to attain some sacramental grace by the desire of baptism.
"Besides a wish to be baptized, in order to obtain the grace of the Sacrament, faith is also necessary"
Thirdly, if it is true that a desire for baptism will "avail them to grace and righteousness" for physical impediments, why would this not apply also to that of death? Given that many here acknowledge the truth that one may obtain the grace of baptism in the mere desire of it in the event of physical hindrances, why not also include death as an "unforeseen accident"?
To provide another quote from the Roman Catechism:
"But though these things may be thus, nevertheless to this class [or kind] of men [persons], the Church has not been accustomed to give the Sacrament of Baptism at once, but has arranged that it should be deferred to a fixed time. Nor does this delay have connected with it the danger, as indeed threatens in the case of children, as stated above; for those who are endowed with the use of reason, the design and plan of receiving Baptism, and repentance of a badly led life, would be sufficient to grace and justification, if some unexpected event hinders so that they are unable to be washed by the saving water. On the contrary, this delay is seen to carry with it certain advantages"