John Arch comes up regularly on these boards
See
http://www.rootschat.com/forum/index.php?topic=638375.msg4856094#msg4856094 about his military service (actually that was your thread)
http://www.rootschat.com/forum/index.php?topic=638844.msg5047675#msg5047675 about his probable father (actually that was you as well)
Repeating requests without referencing earlier threads and ignoring advice that you've been given tends to duplicate effort.
You've been given as much as there is on John Arch's father - in all likelihood he was John Arch, farmer of Clifton. Did you get a copy from York of the will of John Arch who died in 1861, as I suggested? Did you get a copy of the birth cert of the male Jackson born in Biggleswade registration district in the March quarter 1848 as Trish suggested?
You're not going to get a nice gift wrapped document with his parents named on it. Particularly needed with illegitimacy is research into various angles, and it's then down to the balance of probabilities - I'm sure he was the illegitimate son of John Arch, farmer, of Clifton and a daughter of Susannah Jackson, possibly Betsy, but you'll need to invest £9-25 in the birth cert in the hope that it's the right Jackson which should name the mother at least, and a few quid on the will, in an attempt to prove it.
As he was baptised in June 1848 I don't think he was the John Jackson whose birth was registered in the Dec quarter 1848 ie born from mid August 1848 onwards given that 6 weeks is allowed for registration. I think it's more likely that he was the unnamed male Jackson born in the first quarter 1848, but it'll take the birth cert to prove it.
David
