It's not really a girl's bike... The crossbar, or "nutsplitter" has been strategically removed to facilitate easy dismount so as to get another beer. I'd snap this bad boy up!
I'd throw the front forks in the park tank, though.
Man, those old reel mowers are a pain but that thing looks like it would be more work to try to ride than to push. (Reminds me of some of the old junk equipment a former employer of mine used to make us use though!)
I see no pic, but if you want help with a reel mower I will be glad to talk to you on the phone. we can cover a lot in a short time. I went to school for reel mowers at turf products. reel mowers work great if you take a bit of care. and rember a few basics.