The absence of Richard is frustrating. I have in recent weeks, however, come across two other possibilities:
1. MALE Woolgar - Q1 1841 Brighton 7 276
2. Thomas WOOLVEN - Q1 1841 Cuckfield 7 306
In way of explanation for 2, I believe Woolven or WOOLWEEN was his mother's maiden name. Also assuming I have got it right, the name on his death certificate in 1908 is Thomas Richard WOOLGAR.
I am not convinced by either of these, but don't have any more viable alternatives. So I might be forced to take a lucky dip and apply for one or both PDFs.