[Giants00]

Hi. I post here only irregularly, but read the posts all the time. Let me introduce myself and seek help! My name is Dan and i am a jersey collector. I am an advanced flannel collector, but a know nothing about hats. Recently i purchased a dodger jersey i wanted from 51. the jersey came with pants (which were junk) and a hat. I am assuming the hat is junk too, but it is a New Era cap. My assumption is that the dodgers wore spalding hats. I have not seen a new era pro model cap until much later. is my assumption correct?
Mercifully the shirt is real and the patch seems real too. Any thoughts on 1951 Dodger hats welcome.
Dan