Get LARGE Value And Worksheet Name Along With It

I have 5 sheets all with different data within the H column. I want to find the top 10 highest results across all 5 sheets and then pull the worksheet name where those results come from. It would be two separate formulas, one for the LARGE value and the second for the name.

This is all I have.

O2:O11
=LARGE(Sheet1:Sheet5!$H$3:$H$102,1)
to
=LARGE(Sheet1:Sheet5!$H$3:$H$102,10)

I then have this which was the best I could find after about 30 different formulas.
=MATCH(TRUE,COUNTIF(INDIRECT("'"&{"Sheet1","Sheet2","Sheet3","Sheet4","Sheet5"}&"'!$H$3:$H$102"),O2)>0,0)
It gives me the right worksheet but it only gives me a number. I'm assuming it's because of COUNTIF but I'm not sure what else to use.

Most examples I see have the names they want right beside the values. So in my case H3 is 22 (and the largest value within H across all sheets) and if I followed their examples G3 would be Sheet1. So because it's side by side it'd be easily pulled. But the only name references I have are the worksheet name itself or A1 of Sheet1:Sheet5 so I'm not sure how to rework their formulas to suit mine.