Inherited bike- web search suggests it's all wrong?!

Hello!
I'm a 5'3" female. Normal length legs, short body. My pregnant younger sister has let me have/ palmed off her MTB. Bringing it home today, I feel it just needs the seat put up to reach my hip. Otherwise, it feels perfectly comfy and I can actually carry it up and down stairs. Helmet- check. So I thought I was good to go for a 5 week bike maintenance course starting tomorrow.
Now, I'm having a minor panic. I've Googled my bike this evening plus information on frame sizes etc and all the written signs are that its far too small for me- that I should be on a 15", at least. Its a Bronx Equaliser Boy's MTB, 12 1/2" frame. If it otherwise feels comfy, perhaps requiring a seat post extension, can I just go with it or is there anything inherently wrong when its so much smaller than you need? To you, good folks, I defer.
I'm a 5'3" female. Normal length legs, short body. My pregnant younger sister has let me have/ palmed off her MTB. Bringing it home today, I feel it just needs the seat put up to reach my hip. Otherwise, it feels perfectly comfy and I can actually carry it up and down stairs. Helmet- check. So I thought I was good to go for a 5 week bike maintenance course starting tomorrow.
Now, I'm having a minor panic. I've Googled my bike this evening plus information on frame sizes etc and all the written signs are that its far too small for me- that I should be on a 15", at least. Its a Bronx Equaliser Boy's MTB, 12 1/2" frame. If it otherwise feels comfy, perhaps requiring a seat post extension, can I just go with it or is there anything inherently wrong when its so much smaller than you need? To you, good folks, I defer.
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I'd just ride it! Always makes sure there is enough seat post in the frame though.
VOODOO CANZO
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As SS says, a frame 'size' as quoted measures just one tube, and the most useless one at that (you can change the height of the saddle by a massive amount using the seatpost) whereas cockpit length (dominated by the effective (horizontal measurement) top tube is the most importanat dimension as you can only adjust that by about 3" maximum (and that by buying stuff, not just moving it!).
If it fits you, it fits you!
retired 9.6kg Carrera Kraken
The Carrera Hardtail combined thread - come on all you Carrera's!
The Sons Scott Genius RC20 build
Thanks for being so helpful, the pair of you, and encouraging.
Don't set the saddle height so you can put you feet on the floor, it will be too low and tires legs faster and kills knee joints.
Most important thing though - ENJOY IT!
retired 9.6kg Carrera Kraken
The Carrera Hardtail combined thread - come on all you Carrera's!
The Sons Scott Genius RC20 build