If the VCF data is associated with hg19 and you are working at http://usegalaxy.org, the tool ANNOVAR can be used to link in gene names. Other genomes are supported by the tool for use in a local or cloud Galaxy. See the help at the bottom of the tool form for details.
Or you can use SnpEff, Gemini, and other related tools to annotate and parse the data further. See this tutorial for example workflows: https://new.galaxyproject.org/tutorials/var_dip/
Thanks, Jen, Galaxy team