The TLS handshaking Ron,
From this:
Memory usage
Small requests where the body of the response is cached by the library (like the one found in main-http.cpp), require 4K of RAM. When the request is finished they require 1.5K of RAM, depending on the size of the response. This applies both to HTTP and HTTPS. If you need to handle requests that return a large response body, see ‘Dealing with large body’.
HTTPS requires additional memory: on FRDM-K64F about 50K of heap space (at its peak). This means that you cannot use HTTPS on devices with less than 128K of memory, asyou also need to reserve memory for the stack and network interface.
Can the TLS handshaking use external memory device, SD, SPI Flash chip, etc?