Hi
I believe that you will find that Charles Greer, the father of Charles J was also a Coastguard.
Using the ADM 175 records (CG Establishment Books) that are available as free downloads from the National Archives, it is possible to trace his movements.
As a start I found that he was nominated to the CG Service from HMS St Vincent on 14 February 1846, with a first posting to Sidmouth. From here he was transferred to North Queensferry (Scotland) on 10 May 1850 and then to Innisbofin (Ireland) on 5 May 1857. If you have any difficulty tracing him further let me know and I will complete his service history for you.
While at North Queensferry he served with a Commissioned Boatman named James Starke, my guess is that this is the father of Frances, so it could also be worth tracing his movements as well to find a likely birth place for her.
To find more about Charles' service in the Navy you need to consult St Vincent's Description Book, which unfortunately can only be done at the National Archives. This will provide a physical description, age, place of birth, and a list of all his previous ships.
One last piece of info, during the Crimean War in 1854-55 he was one of those CG who re-entered the navy, serving on HMS Cressy as an Able Seaman, for which he was awarded the Baltic Medal.
Regards
Martin
Coastguards of Yesteryear