To safely call a double surcharge, you really need clear separation over the whole of the two strikes, like on this surcharge (not the overprint) from Cochin State:

Can't give you a Scott number, but it's SG O103b - the SIX PIES surcharge Official of 1949.
You can also find 'chatter' or 'bounce' strikes, where the overprint or surcharge plate has bounced after striking the stamp, giving a fainter second overprint which is nearly coincident, like on this ON C G S overprint, also on Cochin

(This is the 1 Anna 3 Pies Official of 1947, SG O82a. Gibbons list it, for reasons best known to themselves - but they shouldn't!)