Parents are probably Samuel Pearson, a weaver and his wife Mary
West Yorkshire Archive Service; Wakefield, Yorkshire, England; Yorkshire Parish Records; New Reference Number: BDP14 Baptism Register 1813, Bradford St Peter
1813 17 June Manelius [parents] Samuel & Mary Pearson [abode] Wibsey [occupation] weaver
https://www.ancestry.co.uk/sharing/7662438?mark=7b22746f6b656e223a22514a61596f31417a3945716535575873744d6863462b48713641385334496d6d6d6e35336b7a75784d564d3d222c22746f6b656e5f76657273696f6e223a225632227d
He seems to have siblings
All baptised Bradford . West Yorkshire Archive Service; Wakefield, Yorkshire, England; Yorkshire Parish Records Bradford St Peter combined registers
1807; June 17 Sussanah d of Samuel Pearson of Wibsey, weaver
1809 June 19 Archimedes s of Samuel Pearson of Wibsey, miner
1810 December 9 Lelias s of Samuel Pearson of Wibsey, weaver.
Probable marriage Samuel and Mary ( ref as above)
1807 January, 21. Samuel Pearson Weaver & Mary Mitchell spr [spinster] both of this par.
Nb lots of baptisms on each day suspect that the miner as occupation is an error by the clerk (these aren't common names for weavers or miners sons ) Lelias seems to have also gone to Wisconsin sharing link
This could be a very big rabbit hole ! Archimedes stayed in England so more recent connections on both sides of the pond.
Might be harder to get back further. There was a hand weaving industry in Bradford from the 17th C but after about 1800, lots of rural hand weavers( and ohers) from outside moved there to find work in the mechanised mills.
Manelius is mentioned in a history of the village of Ironton https://www.jstor.org/stable/4631618
Edit typo