I thought I'd post an update on this for the benefit of anyone else researching this family.
I'm fairly happy that the Millicent CARPENTER who married Richard HULBERT in Hinton Ampner, Hants in 1805 or 1806 is the same Millicent CARPENTER who was baptised in Martin Hussingtree, Worcs in 1780, daughter of Thomas and Millicent CARPENTER, then of Worcester. The dates match fairly well, Millicent is a pretty rare name, and Thomas and both Millicents seem to vanish from the area. I'm also fairly certain that her parents are the Thomas CARPENTER and Millicent BLAKEBROUGH who married in Kidderminster earlier in 1780. I haven't yet tried to trace Thomas CARPENTER's family, but I have looked a bit at Millicent BLAKEBROUGH's family.
BLAKEBROUGH does not seem to be a local Worcestershire surname – it's predominately from Lancashire and the West Riding. However there are seven BLAKEBROUGH baptisms in Kidderminster between 1771 and 1804, a few decades later, a BLAGBROUGH family appears in Kidderminster, immigrants from Bradford, Yorks. The BLAKEBROUGH baptisms are two families: four children of Abraham and Millicent BLAKEBROUGH, baptised between 1771 and 1779, and three children of Abraham and Mary BLAKEBROUGH, baptised between 1799 and 1804, all at the non-conformist chapel. Abraham and Mary married in Claines, Worcs in 1794, and it's tempting to suppose that this Abraham and the Millicent who married Thomas CARPENTER might be children of the older Abraham and Millicent, born before the family moved to Kidderminster. The older Abraham and Millicent died in 1784 and 1801, respectively, and were buried in Kidderminster.
The three non-conformist baptisms tell us that the younger Abraham was from Leeds, Yorkshire, but if we assume he was about 20 when he married, I cannot find a suitable baptism anywhere in the West Riding. However, it turns out Abraham was much older than that – the breakthrough came while trying to trace his son, Stephen Lane BLAKEBROUGH. Stephen is on the 1851 census in Newington, in the London borough of Southwark, and his birthplace is given as Kidderminster, removing any doubt that it is the right person. In the nearby Southwark parishes of St George the Martyr and St Saviour there are baptisms for four more children of Abraham and Mary, and a few years later, the parents' burials. Mary was aged 55 when she died in 1830, but Abraham was aged 84 or 85 in 1838 (the workhouse register of deaths disagrees with the parish burial register by one year), putting his birth in 1752-4. The surname is very rare in London at the time, so we can be fairly sure this is the right couple.
This now matches a baptism of an Abram BLAGUEBROUGH, son of Abram, in 1754 in Batley, now a suburb of Dewsbury, in the West Riding. Two years later a sibling called Susannah was baptised in Batley, and she is almost certainly the Susannah who married Thomas PALMER in Kidderminster in 1778. Finally, in 1751, there's a marriage in Dewsbury between Abraham BLAKEBOROUGH and Millicent MILNES. This seems to confirm that the two Abrahams in Kidderminster are father and son. There are more children of Abraham in Chapel Allerton, now a suburb of Leeds, in the 1860s, and this might explain why the Kidderminster register described the younger Abraham as of Leeds. None of these are for a Millicent, but it now seems certain she must be closely related to Abraham and Millicent – very likely their daughter – and moved to Worcestershire with them.