Southern hybridisation and restriction mapping

Hi all,

I would greatly appreciate any help with constructing a restriction map from Southern Hybridisation data. I can construct restriction maps from fragment data obtained through endonuclease digestion and separation by standard gel electrophoresis, however, Southern Blot data only shows those fragments that a probe has hybridised to and I am struggling to find the correct approach. The parting words from lecturer were 'It's just a matter of logic, consider that fragments may overlap'. The question is as follows:

Genomic DNA was digested and run on a gel. The gel was blotted and used for Southern hybridisation. The probe was a 2.4 kb XhoI fragment. Using the southern data, determine the restriction map for genomic DNA.

Data:
Enzyme Approximate Band Sizes

E ------------- 6.0 ----- 1.8
X ------------- 2.4
B ------------ >10 ----- 3.6
XE ------------ 1.7 ----- 0.7
XB ------------ 2.3 ----- 0.1
BE ------------ 2.0 ----- 1.6 ----- 0.2

Any help with this would be greatly appreciated.

Thank you.