Hi Milliepede
I cannot see any record of her having a full baptism later.
A private baptism was administered if the child was not expected to live
The baptism service consists of two parts, the baptism itself and the public receiving of the infant before the congregation at a service in the church as a member of Christ’s flock. If a child is baptised privately, they ought to be brought to the Church as soon as possible to be received as members of " the flock of true Christian people". This is why the term "half baptised" is sometimes used, because the second part has not been carried out. However children that are baptized privately, are not half baptized, as it was commonly called, but "truly and validly baptized"..
The first question asked at the Public Baptism of Infants in the Book of Common Prayer is "Hath this Child been already Baptized, or no?". Only if the answer is 'no' can the baptism continue.
If the answer is 'yes' then the Priest has to examine them further as to the find out if the child was lawfully baptized, and if the Minister shall find by the answers of such as bring the Child that all things were done as they ought to be, then shall not he christen the Child again but shall receive him/her as one of the flock of true christian people.
Stan