Btw, I can see James (snr) on the 1841 census but not Elizabeth, and neither of them on the 1851, so how do you know they were both from osbaston?
Ah, just looked at the gravestone. I see Elizabeth died in 1832 so that census info is not available. I see that James was described as “late of Osbaston” but I’d take that to mean his abode and not necessarily his place of birth. (I think that Osbaston is included in the parish of Cadeby, hence its inclusion in the Cadeby census, and the church serving both villages). And the burial register gives his abode as "Osbaston, parish of cadeby".
I can’t see any likely Osbaston baptisms for James.