There's an order of removal, 7 March 1832, Henry White, wife Kitty, and children, from St Clement Hastings to All Saints Hastings
https://www.thekeep.info/collections/getrecord/GB179_PAR367_32_2_150See it on FamilySearch
https://www.familysearch.org/ark:/61903/3:1:S3HT-DTW3-QSBThe Keep also has details of a settlement exam at the same time
Henry White of St Clement Hastings: born in All Saints Hastings where his father owned freehold property....
https://www.thekeep.info/collections/getrecord/GB179_DH_B_92_1_354It looks like his father might be Thomas
A baptism, 18 Feb 1791 of Henry White, son of Thomas and Ann
PR here
https://www.familysearch.org/ark:/61903/3:1:S3HT-D4J3-PPL?i=62BT
https://www.familysearch.org/ark:/61903/3:1:S3HT-DTD9-S35Baptism was at St Clements, rather than All Saints.
A record from 1822
Draft assignment of mortgage for 200
Mark Boykett Breeds of Hastings, banker to Ann White of Hastings, widow, with Thomas White, James White, Philip White, Stephen White, George White, Henry White, Zebulon White, Edward White, and Mary Ann White, spinster; John Goldsworthy Shorter, esq
messuage and garden in Hastings All Saints, occupied by Thomas White the elder
https://www.thekeep.info/collections/getrecord/GB179_HMU_3_2_1_3_2Thomas and Ann White had a son Zebulon bap at All Saints, 12 June 1793
And your Henry and Kitty also had a son Zebulon bap at All Saints, 10 Nov 1824