Immigration Rights/British Child

[marksroomspain]

Just wondering what would be the rights of somebody to stay in the UK if there will still under immigration control but had a british child.

For example if the marriage broke down would they be entitled to stay and how probable would this be?

[joebloggs]

possible, best interest of child
http://www.bailii.org/uk/cases/UKSC/2011/4.html
http://www.supremecourt.gov.uk/docs/UKSC_2010_0002_ps.pdf