Um, that might not be entirely correct. Kathy, you'll first need to find out the largest rear cog your derailleur can take, and if that will be large enough for your needs.You won't need a new derailleur.
For example, currently the largest cog in the cassette on my Romulus is 25 teeth. I'm thinking of switching out cassettes, but the largest cog the Shimano 105 rear derailleur can take is 27t (altho some say it can go up to 28t). If I wanted to go to a larger cog than that, then I would need to get a new derailleur (but I think the combination of a 27t or 28t rear cog with the 26t small front chainring will work fine).