Hello there, Beths14. Thanks for posting your query in the Community forum.
I can see how important to get accurate details about the government's coronavirus sick pay for part-time employees. With that, I would recommend speaking directly with HMRC's department to verify if the part-time staff is also eligible to get £95 per week.
Here are some articles that you can check from time to time to get additional details about it:
Let me know if you have other questions. Take care always!