grammaticality - Are expressions "set (something) to ringing" and "set (something) to watering" using invalid grammar?

I chanced upon these sentences, and I wondered about their grammar because they don’t sound right to me:

• The wind sets all the bells to ringing.
  (Should this be “sets all bells ringing”?)




• The aroma of the cake sets my mouth to watering.
  (Should this be “makes my mouth water”?)

Are those right or wrong? If they’re ok, then what is the grammar they’re following? If they’re not ok, then what should they be instead and why would native speakers get this wrong?