So much more help if you'd post slightly more information. In just a few "clicks" I was able to pull up this information and found it helpful--therefore including it here. DATES ARE ALL IMPORTANT, as well as locations.

It was the COLUMBIA CO inclusion that got my attention

They lived in Hillsdale, Columbia Co., NY, and in Fairfield, Herkimer Co., NY. In their later years they lived with sons Jason at Penfield, Monroe Co., Alvin in Indiana, and Ora at Cherry Creek, NY.

Jedediah had a long service as a sergeant in the Rev. War, from 1 April 1775 to 1 May 1776 in Regiments of Colonels Van Schaick and Yates, 3 months in 1777 in Captain Cattin's Co., Colonel Woodbridge's Regt., and a year from 1 May 1778 in a Co. commanded by his father and others in Colonel Peter Van Ness' Regt. He was in the battles of Ticonderoga, Montreal, St. John's, Surrender of Burgoyne, and others.

He was on the U.S. pension roll from 9 March 1839. The pension was transferred to his widow from 20 June 1843.

Polly was still alive for the 1850 census and I did find her living with son Ora--only had O written.

Another point I found interesting was the use of the name Lovicy/Lovisa as many of the Crippens used this name for their female children.

Just my opinion that Polly/Mary had to be connected to other Crippens that were in Columbia Co; then removed to the Granville/Whitehall, Washington Co, NY area==as, oddly enough Graves men also came along; and I just discovered WHY--------David Graves came up as his parents were Steven Graves and Patience Hatch---and of course, usually where you find a Crippen, you'll find a Hatch, and now add Graves into the mix. So David Graves came to, and purchased land in Granville to be near his COUSINS.

Only by filling in important information in a post will folks be able to fill in all the missing information that is contained on so many of the Crippen descendants.
I, myself, just realized that I "missed" the Graves connection due to not going back one more generation on the Hatch line. Back in the 1700's is was common place for 1st cousins to marry--while pretty much today it's a no no to marry one's 1st cousin as they were "too close".

I have been researching the Crippens, Hatch's, Graves surnames for over 30 years now--and am amazed on how with just tidbits of information I can make a new "connection"; and, I'm sure, at some point will have an answer as to how this Polly Crippen fits into the Columbia Co Crippens.