The IGI [www.familysearch.com] has Ann Christian b. 27 Oct.1822 in Onchan, the dau. of John Christian and Jane Christian who married at Kk Michael 11 Jan.1817. Siblings were John b.1818 and Charlotte b.1820.
Sorry, I haven't done any research for Christian in these parishes, but there would be a lot of information available on film through the LDS family history centres - see the website, above.
There were/are dozens of Christian families - the Ann Christian in the Ballacorry family in Andreas was from a different family.
Sue