The baps were taken from the Suffolk Baptism Index, it doesn't say which of the Bungay churches they took place in. You could contact Suffolk Record Office and enquire.
There is this other bap showing in Bungay.
Henry Taylor Adams
25th February, 1820
son of William and Ann
father a labourer.
also to William and Ann
George =9th April and 27th April, 1827(don't know why two dates)
Charlotte = 15th March, 1818 = this says Bungay Holy Trinity
Mary Ann = 3rd October, 1816 = Holy Trinity
Rachael = 2nd February, 1822
Susan = 18th October, 1832
John = 2nd February, 1824
and this one, was Henry Taylor married before.
William Adams
son of Henry Taylor and Susan
19th October, 1845
father a whitesmith of Ipswich St. Margaret.
Bungay.