OP are you white, and is the father black?
If this is the case, the child needs to find out about its heritage, as a mixed baby in the UK, the baby will be viewed as black, a whole side of its culture you wont be able to fill.
I suspect most posters answering here are white and have no knowledge of black culture.
Black men from Jamaica are instilled that babies are 'women business' its a hangover of the English colonial culture still present in the island that men are men, the hyper masculine ideal is far removed from modern Britain ideas about co-parenting.
As a black person, my dad was 'hands off' with babies, but as we got older was a full on Dad, a helicopter parent by today's standard and we're still very close, but he left my mum to it when we were under 2.
If MN posters slagging this guy off are being honest, how many of them know men who are around every day for a newborn with a ex-partner??
As for talk of running off with the baby, why the fuck would he do that? He's probably getting loads of flak from grandparents, aunties and uncles to see his 'picknie' . Those same relatives can't just up and leave Jamaica due to costs and frankly becuase contray to popular belief getting a visa to even visit the UK from the West Indies is very very hard as the stance of UK immigration is 'All Johnny Foreigners want to live here' and will never leave. So to me, its a normal request.
You may not like the situation, but if as I asked you are white and he's black, as a black person who was born and raised here, but whose family originate fgrom Jamaica, that's what's really happening here.