Joseph Mullins- I have several but they are born in
1867,1890,1848,1917,1859. No Francis Mullins at all. I do have a Booker Mullins born 12-25-1841, died 10-09-1933, buried in cemetery 1768 which is the Elizabeth Mullins Cemetery . Cemetery 1769 is the Mullins family cemetery but no info on where it is and 1770 is also a Mullins/East cemetery.
Would you like me to copy these for you and email this to you? There are 2.5 pages of Mullins names plus directions to the cemetery. I can send you two pages of Mullins burials as well
Send me your private email address to :firstname.lastname@example.org
and I will attach it to the reply.
As for Booker, you might write to the Virginia room at the Roanoke libray and give them his name and date of death and they will have a volunteer look for an obit and email it to you free, if one was printed in the Roanoke Times.
Have you tried searching for any of these names at familyseach.org? They have a good list of Franklin County christenings and burials up to about 1912. You may find some of these people on there.