Hi Bryson

The IGI (
www.familysearch.org ) has an Elizabeth Rae bpt Bromsgrove 29/9/1751, parents William and Elizabeth. Could that be her?
If you try entering these parents names in the search form and search for births in Worcestershire 1751+/- 20 years then you should find some more names to look into.
There is another Elizabeth Rae, bpt Bromsgrove, 19/6/1754, parents William and Mary. Maybe she is the one you want?
Another approach is to go to
http://freepages.genealogy.rootsweb.com/~hughwallis/there you can find Worcestershire and Bromsgrove. Then you chose the records you are interested in and enter and search for the surname Rae. This will find you all the records for that name in the IGI. (Hope that is clear, it is harder to explain than do

)
There seem to be quite a lot of Rae's so you may find that you need to build up family groups and see how they fit together.