In this case, thing.getImage will call Class1.getImage provided that it exists. If you want to call the other, you can use the longer form:
Class2.getImage(thing)
These things can be inspected via the class's method resolution order (__mro__):
>>> class foo(object): pass
...
>>> class bar(object): pass
...
>>> class baz(foo,bar): pass
...
>>> print baz.__mro__
(<class '__main__.baz'>, <class '__main__.foo'>, <class '__main__.bar'>, <type 'object'>)
This shows that baz is searched for the method first, then foo, then bar and finally object.
Further reading about multiple inheritance
Further reading about mro