I've tried to find a baptism on Ancestry, where the Oxfordshire PRs can be viewed, and failed miserably. No luck with a county-wide search, and nothing in the Pyrton records up to the end of 1911 which I checked page by page in case the name was mistranscribed.
For some reason I keep thinking the name LAWLER might be Scottish

You'll probably need a £7 PDF to solve this one

Carol