Yes you do.

People are so weird I get those vague replies or even first contact messages they never explain anything in their messages that make any sense.

I assume they're confident 'other records' are correct

'Richard and HIS father'!

On that census it has a lady called Sarah which I assume is this Richard's mother or at least a female relative!

Anyway good luck could be a wild goose chase on the other hand the contact may have good info that they are not aware they have