Dear Mary,
No, as you would have see the 1851 census is:
1851 Census
1 Kirk Patrick Street, Parish of German, Peel
Richard head 49 Magistrate Advocate Arbory
Jane wife 47 Lezayre
Alicia dau 18 Rushen
Richard T. E 16 Rushen
I couldn't find them in 1861 Census but found these on Brian's site under deaths where birth dates work out, but there are a lot of Janes and Richards so am probably incorrect. I could only see Richard as a possible member of the house of keys from 1844-1852. Also had look through Manxnotebook but could not find a mention after 1852.
HARRISON, Jane 51 Arb 14 Sep 1854
HARRISON, Richard 53 Arb 23 Dec 1854
I am keen to find out Richard's parents if possible as well.
Regards Diane