My Jazz I think only said Dad, Mum, tata (as in bye bye) and I think she started picking up uh-oh at about 1 as well. She was babbling a lot and learning reflection in her babbling. Now that she's almost 17 months she's starting to have a bit of a word explosion though and I think she learns a new word every one or two days at the moment.
Your Jazz sounds perfectly normal for a 1 year old.