It's surprising that he would 'lend his name' to such a venture. [=that he would allow his name to be associated with such a venture]
A growing amount of evidence 'lends weight/credence/credibility' to their theory. [=makes their theory seem true or correct]
A bit of grated carrot 'lends' some color to the dish. = A bit of grated carrot 'lends' the dish some color.
(..) - Leave. - I am a member of the small council. The king... Is this a small council meeting? Obviously not. I'm here to lend my wisdom and my support. Thank you for your counsel, Grand Maester. That will be all for now. Your Grace. (..)2016 TvShow: Game of Thrones Title: Book of the Stranger Season: 6 Episode 4