Tiny Doll Hat -Tricorder from Helen Kish Studio sale 1" circum. Fits tiny Kiddle

Description

Tiny Black Tricorder Hat
I purchased this at a Helen Kish Studio sale. To date I haven't found any photos to match it to a doll. Do you recognize it?
The felt hat is molded and constructed with quality construction. The inside diameter measures approximately 1" and the sides (triangle) each measure about 1-3/4".
I don't own any small Helen Kish dolls, but tried it on some of my other small dolls to help identify.  It
fit the head of my Mattel Sunshine Family baby doll
, but did not stay down as my doll's hair is unruly and stiffly sticks up. I also tried it on a
Sleeping Beauty Kiddle head
. It didn't go down far, but rested on the top. (I've included photos to show fit. Please note that this listing is only for the Tricorder hat and does not include any dolls or accessories in the photos.)
Thank you for you interest!
Happy to answer any questions.