I doubt it was the same Ales. The registers for this Church start in 1548 so any child baptised before that would not be recorded. There appears to be a large Heald,, Held, family living there and several Ales's are recorded during the 16th century http://www.lan-opc.org.uk/Chorley/stlaurence/
The church was certainly in a state of flux, though how much that changed individuals beliefs is something debated. In 1552, the 2nd edition of the book of Common Prayer was introduced, it's affect on baptisms was to mean that except in cases where the child was very sickly, the child would not be baptised in the day or so after the birth, the parents were expected to bring the child to church on a Sunday for public baptism
Infant baptism was norm at this period.
T"he Pastours and Curates shall oft admonishe the People that they deferre not the Baptisme of Infantes anye longer than the Sondaye, or other holye daye nexte after the chyld bee borne, unlesse upon a great and reasonable cause declared to the Curate and by him approved."
I also doubt the linked parents are her parents. According to the profile they got married in 1559. According to the transcriptions on the OPC they married 26 Jan 1551/2 St Laurence, Chorley, Lancs. which certainly makes them candidates for the Alice baptised later in the year but not for a woman married in1559 who is supposed to have had 2 children in 1563.
(Mary Jane, is recorded as being born in Olney, Northamptonshire but Olney, though near the border with that county, it is in Buckinghamshire and I can't find that it has changed )