Is there a place I could leave my parents for two weeks?

I agree with the comment above. Look into a nursing home, personal care home (ie. residential facility), or seek in-home provider care. Go on-line and search for agencies that will provide you the search engine to help you locate the service /facility you need for your parents; basically they do the leg work ....you simply visit the facility and decide if its right for your parents. Let them know you are seeking "Respite Care".

Hi! I will ask the most obvious question. Have you called the local assisted living and nursing homes? You need to ask about "Respite care."