Hi Scally,
Yes both the tree on Ancestry and GRU are Smith family trees.
I checked the family site and have seen that they all show up on the 1881 census record for Huntingdon, interestling enough this lot also show up on the same census next to them in Hail Weston Lane, Little Paxton.
Cornelius LOVERIDGE Head M Male 28 Saffron Walden, Bedford, England Scissor Grinder
Emma LOVERIDGE Wife M Female 29 Keysoe, Bedford, England Pedlar
Andretta LOVERIDGE Daur Female 10 Offord, Huntingdon, England
Henrietta LOVERIDGE Daur Female 8 Offord, Huntingdon, England
Emma LOVERIDGE Daur Female 5 Keysoe, Bedford, England
Angelina LOVERIDGE Daur Female 3 Bluntisham, Huntingdon, England
Susannah LOVERIDGE Daur Female 9 m Abbots Ripton, Huntingdon, England
Just what relation Cornelius is to Despair I have no idea, brother or cousin.
Also on the family search site it says Stephen Loveridge christened 06 MAR 1866 Saint Paul, Bedford, Bedford, England, parents Joseph Loveridge and Elizabeth.
Regards
Lyne