44 isnt old nowadays. I know women having their 2nd or 3rd at that age too
Many hospitals now offer a nuchal scan, which is the 12 weeks scan where measurements are taken and they look out for certain markers for Downs etc,
You could also consider going privately (as i did) and getting a combined nuchal and blood test. You have a small window of time to do it in, and you need to get the bloods done at your GP and post them off but its apparently pretty accurate with the risks. For my age wiht my 2nd the risk of Downs was 1 in 260 but the combined test gave me a 1 in 4000+ risk.
take a look at this company
http://www.babybond.com/nt-scan.php