Re: Indian palm squirrel high pitch squeaking
If you find her a mate, you will soon have many, many squirrels. A mate of the same sex will provide companionship without the population explosion. She will feel that strong desire to mate, but her health will not be compromised by not consummating a male-female relationship.
Regarding the vocalizations ... squirrels communicate with, and thus can hear, sounds well beyond what we can hear. Their hearing is also far more sensitive than ours. Their sight is also superhuman. I'm almost certain that she's hearing and or seeing things you can't, and is responding; or, it occurs to her to start a conversation with squirrels around the yard and she is listening for a reply. Nothing at all to worry about.
Jamie
"some old things are lovely, warm still with life ... of the forgotten men who made them." - D.H. Lawrence