Complex sentence: Vertue's account tells us that Woodcock was a well-respected performer and composer, and his description of Woodcock as a "professor" also seems to indicate that he taught-but whether painting or music it is impossible to say.
Split into simpler sentences: Vertue's account tells us that Woodcock was a well-respected performer and composer. His description of Woodcock as a "professor" also seems to indicate that he taught-but whether painting or music it is impossible to say.