Welcome to Mudcat.. you are in the right place, there have been many threads on songs that are good for women to sing......if you go to the main forum page and use the filter box....
type "female" or "women" in the filter box and set the age to 3 years... you will get the titles of many threads you can then look through and see sugestions...
I'm sure more people will jump in and give you suggestions
slainte
alison