The elderly residents were not at home at the time of the burglaries.
Officers are appealing to anyone with information about the burglaries or saw anyone acting suspiciously in the area around the time of the offences, to contact them with information.
Anyone who can help officers with their enquiries is urged to contact North Yorkshire Police on 101 – select option 2 – and ask for Detective Constable Fiona Ayre or Harrogate CID.
Alternatively, information can be emailed to firstname.lastname@example.org
If you prefer not to give your name, Crimestoppers can be contacted anonymously on 0800 555 111.
Officers are also reminding residents to be conscious of their home security and keep an eye out for elderly neighbours and relatives.
For more information about protecting your property from thieves, visit the North Yorkshire Police website www.northyorkshire.pnn.police.uk/homesecurity