You need to work out if the noise is getting into the radio via the mains or the aerial or both. If her radio will work on batteries try that to see what happens. Perhaps also take a battery/mains powered radio with you.
AM can be a real problem. You need a much bigger signal to noise ratio to avoid hearing the noise than on FM. If her radio recieption is poor due to a weak signal this could be very difficult to solve. See if it's on all stations. If just one try retuning that station preset. See if her favorite station also broadcasts on FM.
If it's getting in via the aerial but otherwise her reception is good then the only solution would be to suppress it at source (eg at the pump).
If it's getting in via the mains then a ferrite on her radio or your pump might work but it can be very hit and miss. Typically you need more inductance than a clamp on ferrite will provide at AM frequencies. You might try something like a plug in noise filter..
http://www.ccrane.com/radios/radio-accessories/radio-noise-filter-surge-protecto...Beware all her neighbours wanting the same treatment.