So:
99 - 998cc
H - transverse engine
213 - means codes Ub (Lucas C40 Dynamo) and We (Centre change all synchromesh)
A - no additional features
H - high compression
I can't say what car it came out of, but might give you an idea. The 4 synchro gearbox was introduced in late 1968 & the centre gear change would suggest a base model saloon or commercial.
That's a remote change box not a magic wand box. Would it really be commercial or base model?