Parker is I believe a gypsy surname, so it might be worth making a post on the traveller board. Regarding the timescale, research sometimes takes decades to complete; when I first started I got back to my 2XGGF on the first morning, researching in Lincoln archives; a very late second marriage meant my father (b1899) had for his father a man bc1828, so I was straight on to pre-registration. Luckily they had stayed in the same town so I was able to track back and find my ancestor's marriage and when he arrived in the town, but though all sources say he was born in 1776 I am still looking. That was shortly after I retired in 1996, 17 years ago. I know of people who have looked for an ancestor for over 30 years, so patience is very much needed. Good luck!