Hello everyone,
Thank you very much for your responses and sorry for the delay in saying thank you (I've been busy with school work)!
This has been really interesting. Now I have what appears to be a Bristol official, Henry Britton, to tie to the document. When I initially talked to genealogy researchers in Bristol they told me that indenture of apprenticeship was falling into disuse by this time and therefore mentioned that official recording would be unlikely. I am guessing having Henry's name on the document means that it was official recorded somewhere.
Thank you all, again.