Pedals with clips for small bike frame

We found a set of double-pronged plastic toe-clips with a very small cage second-hand in a bike shop. The only distinguishing mark on them is the reference MT7, which a google associates with "Wellgo" though pictures vary and stocks are low.

On my wife's XS road bike with 165mm cranks, they just clear the front wheel.

One question though - does your wife's foot obstruct the front wheel even without the cage? If so, shorter cranks are your only option. This reference list of crank length availability by brand may help (from 2012, mind): http://www.slowtwitch.com/Tech/Short_Crank_Database_2862.html

Common issue with small or sporty frames. Learn to to turn at slow speed. Or stop, pick up bike and turn around

Going to a BMX style platform pedal can also be a good option if a clipless pedal is not desired, or if she wants to wear non-cycling shoes.

Also, toe clip overlap does not necessarily make a bike unrideable, unless the rider can't tolerate it. It's not uncommon on smaller bikes, and not all riders feel a need to fix it.

Going to 165mm crank arms is likely to be expensive.

I'm guessing, as everything is pretty generic with Ribble, you have something between 170-175 cranks?

That would be my first item to address, either buying smaller cranks, down to 155-165 OR finding someone to drill out your current set and cutting the excess off.

A generic problem with very small frames - try clipless pedals and shorter cranks? The reality that it is rarely an issue when riding except low-speed manoeuvering.