Can you explain the procedure about growing seeds in a paper pot (how may to a pot, the pot made from newspaper?, how deep), as I can't see any earlier reference, and I too have gaps in my row. I suppose it's too lately to put down fresh seeds and I suppose you can't transplant parsnhips?
Open up a double-page from a tabloid and fold in half (top-edge to bottom-edge, not left-to-right)
Roll it round a spray can. Choose one about 2", or a bit bigger, in diameter. Leave a bit more than 1" of the paper sticking out below the end of the can, and after you've rolled the newspaper round the can tuck in the overhanging paper to form the bottom of the pot. Slide the "pot" off the can.
I put my parsnip seed on a damp piece of kitchen paper in a ramekin or Tupperware box. Put a lid on, or cover with cling film, to keep the moisture in. They take about 7 days to germinate. I put mine on top of the microwave so I remember to look at them a couple of times a day - don't put on the window, probably get too hot this time of year.
Once you can see some roots fill your your paper pots with compost and pop the seed in - its a bit fiddly . Make a small depression in the compost (1.4" deep), pop a seed in, gently cover, water with a fine rose. The bit sticking out of the seed is the root, so plant it facing down, or flat, but preferably not pointing upwards though (although, once covered with compost, it will find its way downwards)
After pricking-out into the pots you have 3 weeks max before planting out. Start hardening off a week after the seed leaves are properly up. Plant out a week after that, or as soon as you see the first true leaf. Don't delay 'coz the taproot grows quickly.
No, not worth trying to transplant them. Most likely they will fork.