I don't think it's possible to tell the difference by looking at the backs or inserts. If it's convenient, you should first ask your brother-in-law. If it's not, then buy a roll of 120 film and see if it winds through it. If it has normal tension, then it's for 120. If it feels tight, don't force it. It will be for 220. Go to a dark area (darkroom, changing bag, etc.) and take it out and wind the film back onto the spool and save it for use in the other back.
Dave