Warwick Hospital would be the usual choice for someone in Leam I think, and if any complications think would go to University Hosp in Coventry. I had DS at Warwick and it was fine. They do get v busy (I was greeted with "we're really full today" as I staggered onto the labour ward!) but had a midwife and student with me the whole time so can't fault them there.
Warwick has a good reputation....lots of people where I live travel there even tohgu it's not the nearest. University Hostpital was built new four years ago so is still quite shiney. I know a lot of people like it, but to be it seems very large and impersonal.