Another name for vein is blood vessel.
vein
vain and vane
Though there are many words that have homonyms, homonyms for vain are vein and vane.
Two different words with the same letters, like vein and vane is called a homonym. Another homonym is formed by the words great and grate.
"Drenched" does not have a homonym.
Hour is a homonym for our.
"Sweet" is a homonym for "suite."
Was is a linking verb. It does not have a homonym.
"Senses" is a homonym for "census."
The homonym for "mourning" is "morning".
The homonym for chord is cord.
The homonym for sauce is source :)