I've had a quick look at the list of transcribed Parish Records in the Members Area section of this website. Although Cinderford and Drybrook have been transcribed, some are not available online for 'reasons of privacy'.
If you'd like to send a request under the 'Contact Us' section of the website, I'm sure one of the transcribers could help you with your query.
The Parish Records are easily accessed by joining the Members Area section of this website.

In checking the Drybrook Baptisms which are not on the Web site, there are 7
baptisms for children of Samuel and Selina BURGHAM between 1910 and 1920 but
none of the children are named Lucy Jane.

Do you know if Samuel and Selina BURGHAM are the parents of Lucy Jane?

We have transcribed very few parish records after 1900 so we probably can't be
much further help to you on this occasion.

You should be able to get copies of the baptism certificate of Lucy Jane and also
the death certificate of Charles PROBERT from the Cinderford Register Office
with the information you have about them.

Details of contacting the Cinderford Register Office are on the following page:
http://www.forum.forest-of-dean.net/index.php?mode=thread&id=5964#p5965