The original Sollitts were Huguenots, the name given to those who did not wish to follow the teachings of the Catholic Church in Europe. They represented a strong enough voice that the forces of the church were tied up dealing with local factions rather than fighting foreign wars. These were called the French Wars of Religion. On 13 April 1598 Henry IV of France proclaimed the Edict of Nantes, which gave freedoms to the Protestants both in the way they worshipped and the way they conducted their business. It also
reaffirmed France as a Catholic state.

This mollified the Protestants but, in France, which was overwhelmingly Catholic, the Edict was never uniformly or fairly applied. Over time, the Huguenots became more and more restricted until the Edict was rescinded in October 1685 by Louis XIV.
Well before that the Huguenots began leaving France for places where their religious beliefs were
tolerated. They moved to Germany, Switzerland, Holland, or England. About 400,000 of them left the country. The Huguenots possessed many skills and trades so the French suffered for their stupidity.

The Sollitts were not stupid people and I am sure that they left France well before 1685 and moved to England and settled in Yorkshire.

I have no records prior to 1717, but was able to construct the pedigree chart below. This has been simplified in order to emphasize the scope of this study.