She was illegitimate and was baptised far away from where she was born and registered, presumably to cover-up the illegitimacy as the names do not match the GRO official birth entry.
She was baptised at St. Saviour, https://parish.gov.je/StSaviour/Pages/St-Saviour%27s-Church-News.aspx which appears to be Anglican.
The sponsors were Nathaniel John Olding (mother's brother) and the mother (Susanna Olding)
The officiating clergyman was William Cuhel de Breton, Rector.
There is no known connection to Jersey.