Thanks for the info Jeff but now I'm confused. I went out and wire brushed under both crank brackets and could find no numbers. The Schwinn's crank case looks like it's cast? and no signs of the tubes being welded in place, like it was cast as a single unit.
No numbers on the Hawthorne either. Should I be looking elsewhere? I did find red paint on both.
Schwinn
Humm and ditto what deorman said. however I'm expecting that Schwinn to be on the bottom bracket, it could be newer than appears and hence would be on the drop out mount for rear wheel, opposite side of sprocket/chain ring. Perhaps a 54 frame, as i'm not sure on that too but Schwinn may have used that sweatheart skiptooth sprocket up till then . . Can't recall the cut off when placed under bottom bracket , 1954 or so? It may also be quite a bit older. from what I understand it was not until post war WWII Schwinn added the welded kick stand bracket. then there's the obscure 1942-46 things, war time frames which increases the amount of lucky dollars ya hit. lol as I am not certain just exactly when Schwinn added that bracket, it could be another lucky bucks option if a 41 and lower.
It may be, just plain earning those lucky bucks by searching this site and yet, I hesitate to reference the other site, which has a massive following fer Schwinn's; 'The Cabe' due to site wars, lol..
http://thecabe.com/vbulletin/forum.php regardless, both sites have an abundance of info published within them and plenty who are always more than happy to help ya. . I sugest ya hunt the info down to nail dates and periods on both those frames and ignore the site war troll games. [grin]
The joints by Schwinn could be brazed if early about up too 1950 or so, and later, not sure of exact time, 53-4 or so, Schwinn created and ingenious system to electro weld em and mimic the brazed look. That unique system is stronger than most all other bikes and became their trade mark identity for Schwinn until they stopped manufacturing em in USA, about 1984-5. The brazed look would have joints about 3/4" away from where you'd expect it because, the smooth round connections are pre-formed.
Your 1st photo indicates a rough brazed connection of rear dropout bar and bottom bracket . that's likely the original color of paint; red, and when there's that, those numbers are on the bike, in one of the 2 places, BB or drop-out. albeit if ya can't find it on rear drop-out, don't be grinding on it, light sanding might help. when ya get the numbers, keep in mind, some years may be duplicated or seem the same in 2 different years, so refine if confusing because I've found most times while looks like same numbers the actual sets are different and can nail em if right.